{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Three-Dimensional Plotting in Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib was initially designed with only two-dimensional plotting in mind.\n",
    "Around the time of the 1.0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for three-dimensional data visualization.\n",
    "three-dimensional plots are enabled by importing the ``mplot3d`` toolkit, included with the main Matplotlib installation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mpl_toolkits import mplot3d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once this submodule is imported, a three-dimensional axes can be created by passing the keyword ``projection='3d'`` to any of the normal axes creation routines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this three-dimensional axes enabled, we can now plot a variety of three-dimensional plot types. \n",
    "Three-dimensional plotting is one of the functionalities that benefits immensely from viewing figures interactively rather than statically in the notebook; recall that to use interactive figures, you can use ``%matplotlib notebook`` rather than ``%matplotlib inline`` when running this code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-dimensional Points and Lines\n",
    "\n",
    "The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples.\n",
    "In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ``ax.plot3D`` and ``ax.scatter3D`` functions.\n",
    "The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to [Simple Line Plots](04.01-Simple-Line-Plots.ipynb) and [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) for more information on controlling the output.\n",
    "Here we'll plot a trigonometric spiral, along with some points drawn randomly near the line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cZlorxTYTi/mflFOadyMaC8FNIMjlLGWKRbKZHsGlTM3IPW6p4inLst4csWXL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1yKjUtpdliyQVEUysvLUV5ejk9+8pMAQu3MZ8+eRUtLC/77v/8bDz74ICiKmmHw73A4cPLkSZjN\nZjQ2Ni5aa7hKpUJubi5yc3OlnxF99J49e/Dyyy9jaGgIl19+OYLBIOx2O0pKShblWNJ1jeWJ5WWT\ntUJBtJhAqOGENFRE4oc//CFeffVVCIKAM2fOYM2aNak8zBUHpVKJxsZGfOELX8DPf/5zHD16FAcP\nHsQdd9wBl8uFxx57DGvWrMGWLVvwhz/8Af39/ZiamkKCabwFQaPRoK2tDb/73e9wzz33YGJiAk8+\n+SQKCgoQDAYX7XVJJ+oHH3yAqakp7N+/P+Zj7777bhw5cgRHjhxJk/EiI51DTgGiKTZ6e3tX6uyw\nDw0efvhh2Gw2/Nu//Rs6OzslQ6WRkRFUVVWFGfxnZmYmPZ/v8XjwrW99C52dnfj5z3+OysrKpD7/\nbEjXNVKOdFHvUkXaFjE++Hy+qN2AgiDAZrOFGfwzDDPD4H++XXqiKOJvf/sbHnzwQdx99934whe+\nsOieztHqGg899BCuueYa/OIXv8DRo0fx3HPPzfi7jo4O2Gw2qa7xyCOPpOsa80O6qHepIh5jpEvN\nPCkaYrVm0zSN+vp61NfX47Of/SyA0AJGDP5/+tOf4uzZszAYDGEG/+Xl5XMSq9vtxje/+U309vbi\nj3/8o5SbXWyk6xofDqRzyCsQBw4ckNQHxBhpPo9J4yK0Wi0uu+wy3H///Xj55Zdx4sQJvPHGG7jp\nppvQ09ODr371q7jsssuwa9cuPProo9i/fz8cDoeUjxZFUTKoam5uxt69e1NGxtGQrmssT6Qj5BWI\ntC3i4oOiKOTm5uL666/H9ddfDyCU6ujt7cV7772HgwcP4vHHH4fb7UZtbS3Gxsag0+mwZ88elJWV\nLfHRR/eYiNax+sUvfhG33XYbfvKTn+CWW27BqlWrlvCoVz7ShLwCkbZFXBrQNI2qqipUVVXh05/+\nNICQ9vjUqVPYs2cPvvWtby2b+X8ajQZvvvlm2M8qKyvDyBgALBYLDh06lMIju7SxPK6ONJKKeLaj\n8W5Z01gYVCoVmpqa8B//8R/LhozTWL5IXyErELfffjuGhoawbt065OTkSLaIsz0mWbaIgUAAO3fu\nRGNjI+68886omt69e/eipKQE27Ztw7Zt29LpkjTSuIC07C2NpCIeI6W0iVIalyDikr2lI+Q0kop4\n1RuvvfYaNm/ejF27dqW0My6NNJYz0oScRlIRqd5wOBwzHkNMlFpbW2G32/H222+n+jA/1GBZFjff\nfPOsj4kndZTG8kOakNNIKuJRb6SbDeYPv9+PpqamWb0ngMS8KtJYPkgTchpJRTzqjXSzwfxBpqbP\n5QKXbvz5cCJNyGkkFfEoPL74xS/il7/8JbZs2ZJuNpgD99xzj6RG2bZtG77+9a/H9XfxpI7SWH5I\nN4akkVREazhIZbMBy7K49dZbsWfPnqi//7CZKqWnpl9aSEfIaawYxJNfvVRyq+nGnw8n0oScxopB\nPPnVlZhb7enpSVnjTxqLi3TKIo1LCivFVKmzs1P6dzQPimipozSWPxLt1EsjjWUPiqI6RVGsifG7\nlwG8LoriaxRFfRlAjiiK6ZbBNJYF0imLNC41/B8A0su9HcCHP2eRxopBmpDTWLGgKKqSoqgnIn78\nMoBiiqJOAXAgRNBppLEskE5ZpJFGGmksE6Qj5DTSSCONZYI0IaeRxv9vp44FAAAAAAb5W09jR0EE\nE0IGmBAywISQASaEDDAhZICJAGhJnpkYN4m9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe3e86e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "# Data for a three-dimensional line\n",
    "zline = np.linspace(0, 15, 1000)\n",
    "xline = np.sin(zline)\n",
    "yline = np.cos(zline)\n",
    "ax.plot3D(xline, yline, zline, 'gray')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = 15 * np.random.random(100)\n",
    "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n",
    "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n",
    "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that by default, the scatter points have their transparency adjusted to give a sense of depth on the page.\n",
    "While the three-dimensional effect is sometimes difficult to see within a static image, an interactive view can lead to some nice intuition about the layout of the points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-dimensional Contour Plots\n",
    "\n",
    "Analogous to the contour plots we explored in [Density and Contour Plots](04.04-Density-and-Contour-Plots.ipynb), ``mplot3d`` contains tools to create three-dimensional relief plots using the same inputs.\n",
    "Like two-dimensional ``ax.contour`` plots, ``ax.contour3D`` requires all the input data to be in the form of two-dimensional regular grids, with the Z data evaluated at each point.\n",
    "Here we'll show a three-dimensional contour diagram of a three-dimensional sinusoidal function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x, y):\n",
    "    return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
    "\n",
    "x = np.linspace(-6, 6, 30)\n",
    "y = np.linspace(-6, 6, 30)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.contour3D(X, Y, Z, 50, cmap='binary')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes the default viewing angle is not optimal, in which case we can use the ``view_init`` method to set the elevation and azimuthal angles. In the following example, we'll use an elevation of 60 degrees (that is, 60 degrees above the x-y plane) and an azimuth of 35 degrees (that is, rotated 35 degrees counter-clockwise about the z-axis):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+n8fs7OwOC8xGkHoXd3Z2Yn19fYcXhfS+xEMPDg42DBbr6+sIh8N49tlnsbm5\nybJb8vq1Wq2sxZeoBrVaDafTyRQKxWIRqVSqZpCpVquF1WqF2WyG0WiskbUVCgXkcrmGg0+lUKvV\njLaglnL6ggO122aSypXL5V0zbOLwSf71kY98ZF+a4Zdffhk333xzjaqBJlZHo1GmvaaFaz+Q+lhQ\nd+S1CvjpdBrr6+sYHR295gsJ4eTJkzh69CgbSgu8ZSgNuah3vaFSqSCfz6NarbaUEej1enAch0wm\ng0AggNHR0T1bZesDNwWhRsjlcpibm0NXV9eeVftvfOMbrHA1MTEBjuPYZGoAcDqd6OrqYplxJpNB\nMplEMpmERqOB2+1m/DXP82yIaTqdZobxSqUSNpsNFosFTqcTXq8XSqWSydcUCkWNsRDpjsmAvlXQ\n5OpqtcooCrL0lDZBcBwHpVKJeDyOhYUFuN1udHZ27vkZUGFRCqPRiKGhIQwODiIej2Ntbe2qxzvR\nBBK/388C/smTJ2Gz2dDZ2bnvgE9dersdt97Zbr+oVCpsoapvPJGaP71VVRpyQH4dUE9RtJppaDQa\nJtQ/cuTInjpSCpDSwC0dwbTXfRuhUqkwXrlYLCIajWJra4vxmCqVCqlUCtFoFNlsFkqlEm1tbRgc\nHIRSqUQ+n2eP2draYkFXrVajv78fWq2Wmf0kk0lmPl//PhAXTfxyvZNbPYgO4TgOCoWCNYPQ30RR\nRDKZhNlsRrlcRjabRaFQQKFQqDlOKBTC5cuX8cUvfhHxeJy1K/v9frS3tzdVPDQLJAqFAm63G263\nm413OnfuHLRaLfx+PzweT9PH7pbVSwN+IpFgAZ8c6FpRTpRKpR0LQ/1xA4EA5ubm9nVcAo3UagRZ\npbENOSC/xiCz9FYoCikKhQLC4TBMJhMOHjzYknexIAg7AreUS93rvo3OYXZ2FufPn8fa2hq6u7sx\nPj6OdDrNOEytVgufz4fe3l7m2BaPxxGPx5mnQ3d3N/OYiMfjLOCm02moVCo4nU7GSysUCjbSKZ/P\nswaORsFSCmlXnvR3wKsdd40CWjKZrPm/yWSCwWCocZPTaDS4dOkSBgcH4fV6a9qVr2TEE0E63omK\noYuLi3C5XOjs7NyhpBAEYc9FWaFQwOVyweVyged5RCIRXLhwoaV5fqVSienVdzuuIAjsuPvx/SgU\nCnsWoem53qqNJzKH/BpCSlG0YpdJoAnQnZ2dyOVyzGC+EaTexX6/v+FznD59GkePHkWpVNrzvgTy\nrbBarXit1xWaAAAgAElEQVThhRdw6dIlphWm7XCxWGQyL2DbcJ4CU6FQwNbWVk1Bj2wzyYuYeGVp\nBk+6Y6PRyExuaGI0qSEA1FAXRF+QNrkR1Go1KwhKt8o2m40VAwHU0BUkwaPX8MADD9QErPoRT1QI\nO3fu3BX7FVP3XjAY3NG9l8/nsbi4iMOHD+/7uDTPb3NzEy6Xi/lzSDE9PY2enp59zfkj34/NzU3Y\n7XY2J7DRtRWJRJDL5TA4OLjv878BGk/kot4bhVZVFPWQToAeGRmBIAhYWlrC+Ph4w/vXexc3w9mz\nZ9HR0YH19fU971utVnH58mXk83kcPHgQZ8+exSOPPMKCbTweZ0Y/LpeLeUNks1nGBet0Ong8HhgM\nBoiiyFQUBDKcJz9k4oZJ5dCIYlGpVDAYDOz91Ol0jO+Uvsf1OwLp76Sev5VKBel0mm2Pm/HQSqUS\nVqsVRqMRPp8Pd9xxB3OGk0JaYEun0zh06NAVu8UR6rv37HY7crncvieRSFFvfi/15zh9+jQmJyev\nyI2Odj/BYLApN3758mXo9fpdfTJafa43oZeGHJDfCBA3ubm5CZ/P1/JFQtlrW1sbayioVqs4e/Ys\njh49WnPfZt7FjVCtVnHq1ClotdqGJkNScByH2dlZOBwO9PT0IJFI4KmnnsLU1BRKpRJUKhW6urpg\nMBiwtbXFArDRaERbWxt0Oh2KxWKN1I2aOHQ6HcxmM3K53I4mEY1GwwI0nR/pjslvgroYX0uoVCro\ndDo2vZqUAESb5HI5fOhDH8KBAweaHkMURbz44ovwer2IxWJMUXE1fshkHLS4uIhMJoOurq6Whq3u\nBfLnCIVC0Ov1yGQyuPPOO69aTUHceDgcrqFKqNjcjBbZL95kKg05IL/eIIqiVCphfn4eR44caelx\nu02Arm8OkXoXd3d372kMNDs7i0qlgoGBgV1HNyWTSSwuLmJwcBBOpxPANsf74IMPwu/3I5/Ps6nP\nSqUSbrcbDocD+XwesViMSc48Hg+sVisEQUAikUA+n2fnaDab2dBSYDsgUFYsfR0qlQpGo5EV4igj\nooxbOq6JZGxkC0nZcL0BPnn5Ss2IisUiUyLQAlgqlVjnJLnJSWE0GnH48GG8973vbfg+CoKAM2fO\n4LbbbmNZ48bGxjXxQw6FQigWizAYDA277K4GmUwGr7zyCrRabUN/jiuFlCrheR4TExN7eqhcCega\nWVpaYsXi64zSkGVvrxfqKQq9Xs941d0gnQB9+PDhpi5exEHvZy6eNMCm0+mmsjCpf/Lk5CQLljzP\n48knn4RKpcL6+jor3lHASiaTjDcdHByEIAiMzkgkEtDpdLDb7Ux6l0wm2UgnYFuDbDabmSSOtp48\nzyObzbLWZimItiAuWa1WM1tOOmeSqpGUTUpXUGFROnsvnU6D47iG0kDis3U6HcveqcmEAmM9pD4W\nUkXFftzimqFcLrMtf0dHB4rFIoLBIF5++eWrlqQZjUYYjUbceuutzJ/jWpjfm81mHDhwAENDQ3jh\nhRcQCASwsLBw1YtTPWhR3dzcxNDQ0JtWpSEH5KuEKIooFots5Hy9trLZRSCdAD0xMdH0fuTbS34Q\nzQK39HykxkBEIzQKOOSfbDAYdsx/02g0iMfj6O7uRqVSwcbGBtva+nw+qFQqJmWjyRter5cFOQra\nyWSS0RF+vx88zzPjeanrm9FoZMU1oj/oHOn9JQpjr2aRK4HBYIBer2cG98RNU/ExnU6jVCoxd73T\np0/jr//6r3ds75sZC2m1WvT09KCnp4e5xS0sLMDj8aCzs7MldzWe52toCoPBgMHBQQwMDFy1JE06\nKYTM70ulEsLhME6fPs0+vysxv6c6wvz8PD7+8Y/jc5/7HPr7+5kP95Wa9dejXC6zRfjNqtKQA/JV\nYLdGD51Oxy7yeuwn01Wr1Sxw7+VdLDUGkgZYjUazQzKWzWYxNzeH3t7ehh4XP/nJTxCNRiEIAoxG\nI9xuNwwGA2KxGDY2Npjfg9frRSaTQSaTYb7JHo8H7e3tLDMmmVsul4PVamWtuVqtFuVyGblcjn1p\ngO3KPU3/MBgMrJOPgpY0yyWnNwA1GbCUtqC/S82IgG2FChU4pcfkOA6pVGpHhq7VallA1Gq1ePnl\nlzE+Pl4jT2vF6a3eLY58i0nb3Ix+aOb0Vi9JC4fDLUvdCI00yHq9njnQpdNpBIPBGge6vTjsaDSK\nRx99FJubmwiHw3jqqafwjne8g3V8zs3NoVwus8Vpv2b99cjlcjWP3avxhBbd6wkyh3wFoFWXglyj\nLyAZ8kgDrii+OqXj4MGDe3ZnpVIpXLx4ET6fb8eEiHo0M6in48RiMSafC4VCe5oT/fSnP8XKygqy\n2SwymQyA7W48h8OBcrnMeGOtVsuaHMhonq4pGlqqUCiQSqV2cLIWiwUmk6lmHh61TTfzPqa2Zo1G\nwzKeeimb9BaolbKVy2WmyqDnaNbJSAsC6ZEBMM+LTCYDURQxNjaGkZERZpFJMrhmrerNQOZBkUgE\nVqsVfr9/h3nQ+fPnMTg42DK3K+VvnU4nk6Q1QigUAsdx6Ovr2/WYuznFAdvv9eOPP45wOIwvfelL\neM973oP/+Z//wde//nX8+Z//OcbGxvDJT34Sv/mbv4lvfvOb+NjHPgZgp/qDqJL9UBpra2tQKpUN\nVTBS0OKr0WiuyRzCFiEX9V4LNKMo6hEIBKBSqZjERzqlY68J0FLvYtrKNbvI9jIGArYzztXVVYyM\njGBhYQGiKOLAgQNNM7lf/vKXeO6551CtVlnDRjweZwsQNXKUy2XWcEGFPqPRCEEQanwriALQarUw\nmUyoVCpsVh5BpVKxTjyiLqQZK2mRKWhToIlEIqxVmwI5BVjiqa1WK2w2G/NjdrvdsFgsjG+l0U5S\n5zcyKaLiHrnMEZRKJSwWCzuW1WqFKIpsYsd+XeKkn2cymUQwGEQ2m2XaZr1ef8WytN2kboTLly/D\nYDDs6ZMiBTnFkfn91NQUVlZW8K1vfQv33nsvnnnmGfh8PkQiEXg8Hvzu7/4uPvWpT+Hzn/88Hnnk\nEZTLZZw9e3ZH9k6+KKurq6wN3OVy7Znlz8zMMB69lfeEFvXXCXJR71qDOsia2WVKYTAYmCxsP1M6\neJ7H/Pw89Ho9jhw5glQq1XTAJ5kIqVSqGle4emi1WhSLRZw7d459GXdrOeZ5Hm63m/HE5BjX3d1d\nw/9aLBY4HA7odDrGFyeTSRbEqXU6k8mw7SLP87DZbMyuk7yJqROPgr5CoWDdcjqdDpVKBWfPnsUv\nf/lL5vFcj/rsmLr9aLxUPdRqNdrb29Hf34/JyUmW1ZKiRPocoiiyjJ54ynK5zNrC77//fhSLRSws\nLCAej6NarV6Rn4RCoYDT6YTT6dzREVcoFK5Ikka8fFtbGwt2VFykYLdbl14zGAwG9Pf3o1Ao4FOf\n+hTUajXm5uZwzz334PHHH8fHPvYxfOtb38JHPvIR/Od//ieUSiXuvvtuPPTQQ3jggQdw//3349ix\nY3jf+95Xc1ytVot/+7d/w49+9COcOHEC4XAYly5d2lP9kcvl9qUMuY4UGAxyhtwCWqEo6pHP57Gy\nsgKLxYJ4PI6DBw/uWWRpxOtSdlu/Bd6P+xvZKt5888278nPlchlPP/00Ll68iGq1CpfLBavVinQ6\nzXwqvF4vNBoNEokEyxgpAxVFkdlXAmAFMpp+olQqkcvlWIDSaDSwWCysmASgRnscCoXw0ksv4cKF\nC4w2AVDjYyEdYtoM9byy9FZ6/SsUCnR2duLXf/3X2W6D1BqUsZMeWZot6/V6eDwejI2NwWKxoFAo\nwG63Y2Nj46oNhAi5XI7pyZt12u0XNJkkkUigWq3i4MGD+xo7tbCwgB//+Mc4duwYlEol0uk0yziN\nRiNWV1fR1dXFuvgikQi+9KUv4b777sNXvvIVfOELX0B3dzeeffbZHcf+/ve/j4997GN48skn8e53\nv5vx7eS1Xa/+EEURJ06caMlcnz53vV7/enLIMmVxLdAqRVGPUqmEU6dOMf53r4BBHVn1vK4gCJia\nmsJNN93EfteqMZC0gaRYLOK2225rel/K4g0GA86dO4dCoYBUKgWFQsHUE/l8ngVWMpPP5XKspdpo\nNMJms7HMWBp8tVotm/BcqVRQLBZrNMrAdmCrVCp46qmn8Nxzz9XwyCRfouAo/QEac8f1umRpt560\niEdjneiHzvfo0aP48Ic/DJPJVJMx05eZ+G+a+jI2Noa2tjZUKhX09PQAeLVJIhQKXbWi4MSJE7j9\n9tuZtvlKudZ6VKtVHD9+HAaDAdVqtaXi4ve+9z088sgj6O7uxtzcHPx+P5aWlnDzzTfjxIkTuPvu\nu/GLX/wC4+PjeOmll/DOd74TzzzzDD7zmc/gscceQ6lUwkc/+lE88MADmJmZ2VEjKZVK6O3txeHD\nh8HzPH7yk5+wom59ByOpVCjp2AsU865kVNVVoKXAofqbv/mb/Rx0X3d+s4NUFPXjlfZCJpPBzMwM\nAOypjKhUKqzafOjQoR1ZlFKpRCAQgN/vR7VaxcLCAnK5HMbHx3e9oDiOw/T0NCwWC4aHhxEOhxtS\nFSTj2tjYgMlkwtNPP41MJgOTyQSPx8MKdYIgwGKx1BjL04Rih8MBlUrFAj919RGnTEW1YrHItt0m\nkwk2m40FtUqlgh/+8If45je/yWb4KRQKVlgjbwudTsc0yKTRpqBK9Ac9DznHkbkTcdAKhQJqtZoV\ndYhLJAtOYDvoBAIB/PSnP0U4HMbIyAgcDgecTidsNhsMBgNrfsnlckxnHA6HmQQQ2N5NEQ9qNpsR\njUaxsLCAYrHIZHatoFqtIhgMoru7GyaTCT6fD16vF9lsltEk1FCz36xPodiej3j77bfD7XYjmUzi\n0qVLSKVS0Gg0LJMURREzMzN46KGH8Nhjj2FiYgLnzp3DbbfdhvPnz+Pw4cM4deoU3v/+9+PYsWN4\n17vehePHj+OOO+7Ayy+/jIMHD+KZZ57B/fffjx/+8If4nd/5HTz99NOwWCx4xzveUXNOarUa6+vr\n+L//+z9sbGxgaGgIY2NjUCqVUKvVcDgc6OzshNFoRCQSweLiIoDt+kYr7ykt8K8jPtfKneQMuQmo\n2g+0RlEAOydAz87OYnJysmmm0SrtcOrUKRw6dAhzc3M1rdXNQE0hUlnduXPncOjQoZqqstScfmho\nCKlUCseOHWOmPyqVikmmqHhnMBgYv0lTPsixTaPRIJPJsDZnhULBfCByuRwba0SZJvHE09PTeOih\nh1gxjlqYKfgSPUHm/sVisanfBSkvpBad0uKctJBItpzSNmlq2SajfDonjUaD97///Xj3u9/NzPAJ\nVIxUKLZHWN100027TguXbr8FQdgzIwVeXWDr2+iBV1urg8Egkslky7I06eNfeumlGkMkMk7a2NhA\nJpOB1WrFE088gVgshldeeQUjIyOYmprCLbfcghMnTuDQoUM4f/48fD4fcrkcDAYDeJ5HIpFAT08P\nTp8+jY9+9KN45JFH8KlPfQoPP/wwent7oVarsby8jIWFhR27hldeeQV33nkn3G43OI7Dd7/73R18\nM2F5eZkZQlUqFbZzaPSeVqtVtgC/jpApiyuBlKKQbon3Qn1wUyqVmJ2dRXd3d0NaoVXaAdieQAEA\nIyMjO1qr68+dmkLGxsZqsu2LFy+ir6+PbfvqzenD4TB+8IMfQBAEOBwONp6JxPbSx1GgNZvNqFQq\nLDArFApW+CIlBXlWkA8yZdikP37ooYdw8eJFAGCjmkhmRlkwccrETRsMBlgsFpYpSzvyyAWOfqTS\nOPqhbJoKlKIoQq1Ww2w2MwOjei8Nen1GoxG/9Vu/hXe84x2sU1ChUNScH+mCDx8+zKiLZmhF7gZs\n1xdWVlYwMTGx6/FoMOrGxkbLrdWlUgkXL15sGuxffPFFfPnLX4bZbMba2hr6+/tx6dIlDAwMYGFh\nAcPDw1hYWGA1gZWVFdx555149tln8Z73vAdPPvkk+vv7kUgk4PP5EIvFcO+99+L//b//h7/4i7/A\nF77wBTz88MP44Ac/WFPjEEURk5OTEAQBgUAA99xzDx5++OGGPPfU1BT6+vpgsVhqBs42skelkV+v\nc4Ysqyz2C7I+3Nzc3NMnQopmE6D1ej2KxWJNwK1UKlhaWgLP83v6EVNrNc/zGBsb2zUYU9cdeS3U\nLyRarZZlh40WA7vdjo6ODpRKJSSTSRSLRVZ9J77XYDCwKRIUgEhpQZ10pVIJHMcxSRiw/YUnThnY\nbpoplUr4xCc+wX5HtATRBtRGTR4IKpWKNT/odDqm9KC28Ga2m82g1Wpht9vR3t6ObDaLVCqFVCqF\nbDYLj8fD+GwqSlI7dz6fx3//938jmUziox/9aE2xkWb+0TSSVpIdvV6PgYEB9Pf3M7kbdduR3I0+\n31YyOpVKBZ/PB5/P13JrdbMGplAohKeeegpPPPEEfD4fVlZWcODAAdZhGAwG4fV6EQwGoVKp0N7e\njrm5ORw6dAjHjx/HkSNHcOrUKVY7oED8ta99DV1dXUxWqdVqcerUKYyPj+/gxR999FGYTCZ85zvf\nwaOPPop//Md/xBe/+MUd55rP51nSoNfr0d/fj76+PqTTaWxsbGB+fp7tHKRF5OsNcob8/4O8KDiO\nw6VLl1rynBXFVydAj46O7mh/DYfD4Hke3d3dAFrzLiaQMZDdbkelUoHdbm9aAd+tKYSwsrICo9GI\nVCoFnucxMjLCFoP19XUcO3YMHMfBZrPBbDYjkUhAEATG9RIXS7Isoh+o8GYymWA2mxnnTJkxubxx\nHAe1Wg2O4zA1NYUvf/nL4HmeeRIbDAZWsFOr1chkMtjc3GTSNFrcaNYeaZ/NZnMNrSEt5FF2DLza\nrUV8M6lBFAoFm4KsVCqxsbEBjuPgdDrhcrlYpk1TTaghRKVSYWJiAn/yJ3/CNMi0GEl3BTTaqpmF\naiNQt10oFGLddqIoIp/PX7GXcCKRQDAYRC6X26H6iEajyGQyGBoaYo/5yU9+gpMnT2J5eRk2mw1b\nW1twu90IBoOwWq1sodbr9YjFYujq6sLi4iIGBgawvr6OcrmMsbExvPTSSxgdHcX58+fR3t6OtrY2\nzM/P433vex9efPFF9Pf3g+M4BAIBXLhwgcnywuEwSwDcbjcUCgVmZmYwPDy8Y2FqRLnUQ9rQ0tHR\nsWcvwGsAmbJoBfRFKpVK7Et9+vTpGoe1RmhlArS0Q65V72Jgp/PaxsYGFIrtYZP1595MnVGP1dVV\nhMNhdHZ27uCgs9ksfvrTn0IQBCSTSeYBrNVq2f9pOjOZwlNrM2mEKTBLW5ypwEfPpdPp8Morr+Ch\nhx6CIAgQRZH5Jmu1WiZfi8VibLxSd3c34vE4o0V0Oh2sViszua8fnEogmVr979RqNYxGIxwOBzNs\nisfjqFQqsFgs8Pv9CIVCiMfjMBgM6OzsZO+1IAgoFArs/kqlEv39/fj7v/97xl0CYAVgunW73bjr\nrrt2/cybgbrtQqEQTCYTRkdHr7i1GACbIhIMBqHRaNDZ2YliscisVcPhML71rW8hHA4jn8+zxdlk\nMiGTybCBu7lcDl1dXZifn8fQ0BAuXrwIj8fDipxHjhzByy+/jImJCTbcYHx8HCdPnsTb3/52zM3N\n4T3veQ8effRR/OVf/iX+6q/+CnNzc6xTUMqLJxKJXTXI+zHuf4MUFoBMWewNkivVqyhUKtWungSt\nFuMMBgMKhQKWlpaQz+dx5MiRXbedzZzXaIsuhXRB2K0pBADi8ThCoRAcDseOjr+1tTW88MILyOVy\nMJlMzDqTsuGOjg42b06pVMLlcqFarbJmDwCw2WywWq0sAKdSKeZBIT3e888/j+985ztMdmaxWGCz\n2RhFoVKpEI1GkUwm0d7eDq/Xi9XVVRQKBbhcLnR0dDDTomAwCGC7/bqtrY0V5IgqICUFQVqsI8N8\n0vSOj48jkUhgfX0dkUgE/f39sFqtWF1dZbwnFYKo4zAajYLneayuruKTn/wkPvvZz8LhcIDn+Zps\nHgA2NjZw7NgxNq5pP80L5JamVqvB8zwWFxd3TBLZDzQaDbq6utDV1YVcLsdMo4DtQQbPP/88OI5j\ndEI6nYbJZEK5XIbJZGLqGr/fj+XlZYyNjWFmZobRXRzHobOzEzMzM3A4HGxHMzY2hqWlJfaZUet+\noVBgO79nnnkGf/RHfwTg1WkulAiQAx0N2pUW7LLZbMvvKe2crldcv2f2GoMaPWj7Kc0YjUYjCoVC\nw0xkP8U4qlTb7fZdHd3ofJo5r+n1emxtbbH/FwoF1ia62/QFqXfG0NDQjvlxAFiWq9VqkclkmFyN\nXNsSiQTrLiSelfhcAMxYSK1Ww2q1sqIKzddTKpVMI/of//Ef7Hmpe0zaqkwcvtvthsfjYW3eRK+s\nrKyA4zjodDp0dHRAo9Egl8shEomw4yoUCmaT2cgCVaVSsSIXzQYMh8Po6upCT08P1tbWEAgE0NfX\nh2w2i0QiwSgnyoqpJX5tbQ3VahWhUAgPPvggvvKVr6BYLLLFk0yRyO3swoULuHDhAt7+9rfD5/Pt\ni8cUBIFZeV6rmX5msxnDw8M4deoUZmdnwXEcM4giGSO1wlNBtFwuw+/3Y2VlBX19fbh8+TKjsMLh\nMPr6+hhVNzw8jDNnzsBut6NUKjFzfVoAisUidDodZmdn4fV6cebMmYbnWe9AFwqFcOrUKfbas9ns\nvppkrlf+GHgL6pBJQyudAF1/IVMTQH0xrlUNMLDt6DY3NwelUolDhw7t+mXJZDK4ePEiOjs7GxYT\nFQoFIpEI2tvbEYvFsLCwgNHR0V27qniex8WLF6HRaJgEKx6P1zi7ra6u4pVXXmF0ADWAFAoFqNVq\nOJ1O9n/KOKlgVS6XoVarmeE8ubVVKhWYzWbWYlypVHD58mV8/vOfR6VSgUajAcdxcLlccDqdrBNO\no9FgY2ODNVgsLCxArVZjfHwcxWIRy8vL0Ov18Hq9bKHLZrNMmudyuWA2m5lcjrJz+jGbzezviUQC\n2WwWGo2GWYlGIhE2JonmBLa3tyMSicBiscBisbBgTNQH7a4AsM7Co0ePsuemlvV8Pg9RFGG1WmG3\n21Eul3H58mUWkFrp4ItEInA4HGxsFelw9Xo9QqEQlpaWUC6XGRe/F4rFItbX1/HYY4/hwoULLPsl\nL2+aEE07C6Is2traEAgE0Nvby3yyHQ4H+10kEkGhUEBPTw+bC9jd3Y3FxUW2kM/OzqKjo4PRXzqd\nDp/97Gfxzne+E+3t7buet/S163Q6hEIhBINBqNXqmokzzUAZ8hvg8taSDvktlSE3oyjqQRcfgaYv\n7+UDAdRmpZOTk5ifn0e5XG74pZNywIcOHWrKAWs0GpTLZSwuLqJYLO5JfVCRr7+/nwVtqcqCsLm5\niVwuB6fTiXw+z7Jh4u94nmdBmaZ6mM1mOBwOxrun02mYzWa43W42Fy+Xy7GCm0qlwoMPPlijPVYo\nFKxQRwFOEARWHNLpdCiXyxgeHkYwGEQ8HmfqlWg0yrx5VSoVcrkcNjc3az47cnIjiqKeSyalBllK\najQa+P1+BINB2Gw2ZogzPDwMrVaLVCrFaItqtcq8dWliCrB9bZ08eRJ33nkn7rjjDlbYpEBMgY68\nSejzo8Il0V/7sd5UKBSw2+2w2+1spt/09DRrAW80008QBCwuLuJnP/sZgG3KymazoVAoQK/Xsx0I\n1VYqlQr0ej1SqRQ8Hg82NjbQ19eHtbU1mEwmmEwmBAIBDA8PY3V1FeVyGX19fQiFQsjlchgaGkI0\nGoUoihgcHEQoFEK1WoXBYMDFixdhs9mQSqVwzz33NL2eG0GhUMDhcMDhcCCdTsNms7FmrI6ODrS3\nt+947cQfX2+Wm1K8ZQLybhRFPYxGI8LhMIBXJ0C3UkwhRzeLxcI69AwGA8uEpKhUKpifn4dSqdyT\nA6YmFZrOsZsxEAX48fHxGuc3tVpd00yxsrKCQCDAdNcejwfFYpEVbrxeL1MVUGZDqgqO41jWSS5o\nHMfBZDLVZNWFQgGf/OQn2URoURQZZ0jBmrbHdG7URAJsby3j8Th6e3uRSCSYJIpmFpIe2u/3MwUH\nBUiNRsOmidAiQNvuRCKBdDoNjUaDjo4ObG1tIZFIYGhoCMvLy4zyyGQy8Pl8CAQCLFBSbUEQBBag\nNBoNC/z/8i//gsHBQRiNRpYl8zyPdDrNHMboOkomkyw5KJVKWFpaYqqMei1yuVzetQON1Bg0bisY\nDGJ5eZnZbhoMBpw4cQKpVAqnT59Ge3s7AoEA23UZjUZwHMe6JilDtlqtSCQSTN5Gt3a7HaIoIhKJ\nsGyY53n09PQgEomgVCrBYrEw61Wfz8c06yqVCg6HA2fOnIHb7UY6nUYoFILX6923NphoJHrthUIB\noVAIJ0+ebCj128/09zcCN3xAllIUrbZLUlFmYWEBpVJpz4wUaO7oRgFZ6qS1H2MgMrOnin+zi2mv\nAC+doHDp0iWcPn2aScoymQySySRrZU6n00in02x7TJmvWq1m5jnUAk1fOmpPpqkWTqcTDz30EOLx\nOFsEge0MjSaCEHdMo5mMRiPS6TQymQwbpGowGGqGZcZiMbb1J76Wimd6vZ5J0Cg7lXpWFItFVCoV\nGAwGeDwecByHzc1NWK1W5PN5BAIB9Pf3Y3FxEVqtFrFYDJ2dnVhbW0OxWITD4WDt19T5B4D5c9Dr\n+7u/+zs8/PDDKJfLTCZHzTUKhaLGnIgmcKRSKVb8TCaTjKcm3WwrxvcEk8mEwcFBDA4O4sSJE1hd\nXcXs7CxUKhUymQy6u7sRCATQ0dGBaDTKPCxoYaFORLq/z+dDMBhET08P1tfXYbPZUCwWmYQumUxC\nEAR0dXUhGo2y90qj0WB1dZVpvpeXl6FQKODz+VAoFCAIAr72ta+x3UmzILobSAlCMBqNTaeotLe3\nX5M5ga8lbuiATJkaXWStroykSfZ6vRgaGmrZu3hiYmIHt0xNBYRoNIr19fU9i4L11Mfi4iI4jmtI\na76gxs8AACAASURBVLRa5AOA6elpaLVadHd3IxaLMZqCggEZzudyOQiCAIPBwIIfjVOiAkoul0M+\nn2dZn0KhQKlUAs/zWFhYwK9+9StGF5CKgkzipQGZOD2v14tAIMCsP9PpNNra2pBKpWCz2RCLxeDz\n+ZDNZhEOh2Eymdh9yTi+UeGS4HA4YDAYkMlkEI1G2XNGo1H2POvr66wQubm5yXyN8/k8vF4vC8gq\nlYoFGIvFUiO929rawr//+7/jQx/6EPOAps+JxkDZ7Xao1Wrkcjnm/UEqjXg8DmB7VxcMBmE0GsHz\nPFtgqChFahIAbMYfURDPPvssHA4Hzp8/D5PJxK5D4sjdbjcSiQTsdjvj4klJQsGfdjPRaBR+vx8b\nGxusWYjjOLS1tSGZTKJUKsHr9SIej4PjOHi9XvA8j2g0imq1Cp/Px3ZS5O0RCAQAbPswDw0NYWho\nCIODg0zt0uooqmYKC+qWpGs7Eolgbm5uTznrG40bNiBLKYr9bFNoAjR5+tZPnpD+n7yLdTodjhw5\n0rB6azAYsLm5iWq1iqWlJXAct2eHHo1iMpvNmJycZEM7GwXkVikVaoQQRRGLi4vgeR4ulws8zzMz\nIbfbjUwmwy5ylUrFpkJTVlStVpkvBTWtUJOATqdj5/CVr3ylhiIh9QPpWkdGRlgwpsWyp6enxrKU\nimJGoxGZTAa9vb0Ih8PQ6XSMpySvaLPZjLa2NtZcQi3U9LkBYINZ1Wo1urq62NDVjo4OhEIh+P1+\nNgaIFCIrKyuMk6XtPNlwhsNhts2WfvbVahU/+9nP8P73vx9ms5nx2QCYQRPx7xScaQEiEyfibck/\nWhAEvPDCC4jH4+jq6sLk5CQuXbqETCaDgYEBHDt2DMPDw+was1qtbDo5LZJUpGxra8Pm5iYMBgNK\npRLb/SkUCkYB8DwPu92Ora0tdHR0IBgMwu12o1AogOM41gItiiI6OjoQiURQLpfhcrlQLBaRTCYZ\nZUdeKFQ7IOnhN77xDUxOTtZcIxRESS99/vx5xvE3GkVFNZDdQBx9R0fHda2wAG7AxpB6iqLVD0A6\nAXp0dBQbGxuwWCzweDy47777oNPpEIvFmLfC3Xffjc7OTrz3ve9tOJOOIAgCzp07x2ReexkDNeu6\nW19fZ6oAOl+y1hwdHd2VUgmHw6wSTQ5lNLyTlAfEFUs5XRr8SVt9KtQBYCoV8gyWGvc8+eST+OEP\nf1hTWCP+0+12Y3l5GR/4wAdgMBh2jGD6/ve/z7w1aCGy2+1MckVFx2w2C6fTybjPbDa7Z/u0Xq+H\n0+lEqVRCLBZDpVJhBVyv14v19fWaLJ8y9sHBQdx+++2sqEca8PPnz+Ouu+7CwsICy/zpPdTpdOjq\n6sKDDz4I4NXFXK1W1/hF0xBaUrLQJJZMJsMadHK5XM2U63Q6zbL4VCrF7heNRtkx4/E4HA4HK85a\nLBbEYjGW8ZrNZubjUb940WedTqfhdDoZZ5zJZFAul2GxWBAOh9mUl2g0Co7j4PF42KInCAIrZFYq\nFSQSCYiiiO7ubkSjUWxubmJqaqrGaqAZpKOoXC4XOjs72cJ/5swZjI2N7al6eoM8kKV46zWGtKqi\nqAe1KTscDqYXJi0y8OoFQdtTGlXT3d2Nr371q/j4xz+O++67r6HXRDqdZk0hexkDkclMfUEOAPvi\n0vlS9rNbka9SqWBxcRGVSgVHjhzB9PQ0k3yZTCa4XC7GcZLelBzdyNOYGgSoIFcqlWAwGGCz2Zg8\nigKbyWRCsVjEk08+ycx4CBaLBZFIBCMjI1haWsLa2homJiZqjH9UKhWGhoYwPz/PuGrKwCkwU5ZP\nxaNcLge73Y6urq4akyHieak9m7bspIFtb29n2T9lowBqFhFSltxyyy3Q6/WscFcqlTA/P8+GuU5N\nTcFoNDKvaPo8Y7EYAoEAxsfHGQ8vCAIzRCLD/mq1yhpk0uk0KpUKrFYr1Go1UqkUUzqQqoT41WQy\nyRZQoh9IP04UAikxKNONRCKw2+3I5XIsYBJ/LG37pkIvZdR0LKfTyaSAKpWKKVx8Ph+bNq7VatmO\nitQ4pIqgndSDDz7YMp9LzTFDQ0PY2trC0tISK/A2Kpg3AxV3r2fcMDpk6pqibX2rbzzphQcGBuDz\n+djjRFHE1tYWPB4PLly4gGeffZa5jAWDQVSrVbjdbpTLZfzqV7/Cj370I1SrVfT29rJmgMuXL2Nz\ncxNKpRK9vb1Ns3XyRBYEgY1Grwdt81QqFWZnZzEwMID29vamr7NYLGJqagpOpxM9PT04d+4cVldX\nIYoinE4n01rb7XZwHMfmwdEXk7I1cmZTKpXMN5j8HcijWJplPfTQQ9jY2Nhh+t7W1sayNYfDwXTG\nfr+f6ZBVKhXsdjtmZ2dZoCDKiTrVzGYznE4n45MdDgeSySQzGkqlUmwRrFarUCqV4DgO8XicdXk5\nHA4kEgnwPM8WAvK9piyf+PK3ve1t6Ovrq3GLm5mZwfr6Ou6++272eVCnIr0ftNBcuHAB99xzD2uu\nIMqCgh8t/rTg0XtQqVQYNUReIPTeEd9vtVpZA4fBYGBqF5fLxToRabHxer2sICqlKXieh1arhSAI\nNXQPPY7eXypKbm1tMYVFKpViNBUNKtDr9TCbzSiXy2wxoWtA2gH79a9/fd+m+gqFgnlBE+e/ubnJ\nOPDdvvf0mbzODm9StKRDftMHZKIoyIGsUCjUTHre7XGrq6uIRqMYHx/fsVqr1WpWiY5EInj88cdZ\nq28oFILRaIRSqWS9/URN/OpXv0K5XAbHcTCbzRgZGWFa3UYXYD6fZ1s3+uI3QrVaxdraGrLZbMPz\nlSIej2N+fh7Dw8OMd1tcXGSNGlL+uFwus2yMNKhURKpWq7BYLIySoPeNpkRTNkVFo0KhgO9+97so\nl8s1wdhoNCKRSODAgQNYWVnBoUOHoNfrcfHiRWSzWQwMDLCOPavVigMHDmB1dZU1VFBRlqRsuVwO\nfX19iMViyGaz6Ovrg9PphN1uh81mY+dMygryATGbzYjFYkilUjAajahUKqwtncztpdTDBz/4QUxM\nTLCgTYH7ueeeg9/vx8TEBH7xi18wq1ZaNKR+zGSBOTw8zHS+tMCRhSjpfTUaDWu353ke1v+PvTcP\nbvuu08cfSZYPWYd1Wb4dn6mP2HGuJqWFXrQkLZ0phV26aSkwS9myZdkFup0FBpa2wHRh2GG4hmt3\nYaHQAm1pS2FCoYQmTdM2cRxf8X2fkmydlizZ0u8P87zyliw7TluWtt/fa8aT2Jalj/T5fJ736/28\nntfzMpuh1+uFz7ZarQiFQgLMPF7yxGxmCgQCssCFw2E4HA4BUnbiaTQa0VOvrKwgJycnZShAKBSS\n4ba8bgOBABwOhxj/m81maDQa+P1+cfjj+SGFRBqJNE5BQQHe+ta3SnZOh7yLDbW5g7slqqIyGf//\n/4D8fxCkKFi9pTHNZpwusKai6OrqQk5ODhoaGjJeEHT+Kikpwfz8PB555BHhlsPhsBRayGGy629p\naQnt7e2Ynp7Grl27UFhYiFAoJCu4GnNzcxgcHERDQ8Omw0+pWohEIti7d++GfHEymcTIyAjcbjd2\n7Ngh1f3Z2VnMzMzI7oFZFflGdngxywIgSgqCR35+vtBA6bpeZnpf/OIXJRNldkv/B3b25eXlYXBw\nEFdffTUsFgvOnDmDqakp1NXVSaeVyWRCS0uLtEWzDZqFwcrKSkxPT8Nut0tbOVu4uRhQSmcymWAw\nGDA3Nycqg+LiYiwsLIjMjuoMejiYTCZ84AMfQGVlpVxXOp0O09PTshO67rrr8MILL2B2dha1tbUi\nn2NWrvpz9Pf3453vfKd8ttxZMOtlsZPFQuD8OCsukllZWSI9pDKCux1qey0WCwKBgPCrpHpCoRDM\nZrP4kTALNhgMUjRVs+ZoNAqr1SogTqN+s9mMxcVFrK6uik+F2oUIQMBZPf/8HDj49dvf/rZ4XwwM\nDGB2dlay34uhFNxuN3JycuByucR8aGVlBcPDw+IHzcSJx/JXLOq9uQGZdojqBGi9Xo+xsbF1rmhq\n+Hw+dHd3Y9u2bSkWmL/5zW/w6U9/Gu9617vkpNF1TK/X43//939RXV2Nnp4eqearJuj0zuXNuLi4\niN///vdYXFxEZWWlOKYBawvJwMAAAoHABduwg8EgOjs7UVZWhmAwKO5j6aEuMvR+WF5eRkdHB/r6\n+sT4PRaLQaPRSAt0bm6uADGLNDRw53glFmYI2sw22HjBItsvf/lLeSwAuQHC4bBoX3fu3Im5uTmM\njIzguuuuQ1lZGc6cOYPOzk4xU9dqtcjNzUVzczNsNhsGBgbEa5k+yNu3b5dmC55v1WIzFouJ+oO+\nzYWFhVLQ02q1GB0dxezsbEpBcP/+/bjttttE+UBAPnXqFJ544gmYTCa85z3vQVdXFwYGBtDc3Iyh\noSEUFRWJlpugzKwZOM+Dkp5QbUuzs7OFQiJYUx7HSSakiFiApSbc5/MhNzcXubm5MtmDBVZ2EhqN\nRikaqmAcDAaRnZ0tMkQupPn5+VhcXITdbpfJ6WazWQqIfF11MWGHJp+D9wJfM5lMwmg04uDBg9i3\nb58UIjmZ2+Px4Ny5cwiFQltuJ5+amoLNZpN6C4+tpKREFqq+vj7R1BuNxr8mh/zmHOFEioKFgkxj\nXzI1RqhOapkmQP/0pz/Fhz/8YRw7dgwtLS2IRCI4deoUCgsLUVdXhyuvvFI8FXbt2oXp6WkBYxWQ\n6W6mzmtzuVy47rrr8J73vAexWAzd3d1wOp0oLy/f9AKZmZnB5OQkmpqaYDAY8NJLL2H37t3r3nOm\nVumZmRmcPXtWbkxuY1nt503MIgy3ylRSEFhpV8nvmXmS+uBzfepTn5IGCm59SQPk5uaKxjUUCuHK\nK6/E008/jbKyMtx6661YWFjAI488Ao/Hg6uvvlrGJPF9JhIJ/OxnP0NHR0dKCzZ5zZycHDgcDths\nNuTm5kKv10vTCBftQCAg233SMQzyuPfee6/sYlgU7O3txfPPP4/h4WHU19fj+uuvx1NPPYXJyUm0\ntrZicHBQ6CNmtyaTSXYW3IUYjUZ8//vfF6AlBUMKg58jr20ueGzBJsiTXkgmk8LZUopoNBqlSEia\niBQGmz0IzNFoVHYI7I4kcAYCARQUFGB+fl6yZnLSGo1GFBOUJZLyYR2B3iaUnVLRU15ejscff3zD\n6z2RSKQMcKVVwUZc84svvrglB8WFhQWR3P0VAfnNN+TU5/Ohvb1dspdM249AIICcnJwUwI3H4+ju\n7oZWq0VjY+O6ExgMBpGTk4Mf/OAHqKurQ1VVFfr6+sSr12KxYGxsDL/5zW8AAHV1dRgfH5cbkDIh\n8mTscON2aXl5Gf39/SKPamlpgcvl2lQd0dfXh6WlJezYsUOyBa/XKw0FwPlW6bGxMTQ3N8NisWB1\ndRVdXV3o7e0VLm1paUnGKpGLZKOByWSSG8lkMskNxMyZ5jIEcMq+OPySSoHHHntM6ALqWakoyM3N\nhd/vR2NjI2ZnZ+H1erFv3z6hdurr63HVVVfB5/NJZ1lBQQFcLpcsart27ZLJHuzCowIjFAphfn4e\nY2NjGBoawsDAAEZGRjA9PQ2PxwOv1yuDSFXPYhrSWK1W3H333dJkEgwG8dxzz+Hhhx/Giy++iGQy\niWuvvRa7du2SaSFXXHEF+vr6xJKU+mACIkdBqdRFXl4e6urqRMVCcKYfNHXepIe4QHIHyAInF0Oe\nu+XlZRQUFCAcDktdgw5oLAyyPdtkMsmOgQZLNBXizoLt0kwuSNGx+YbFQtKFavMPu/14jFSl5OTk\n4H3ve1+K7jg91KLdhQa4JpNr48q2bdu2KWZQmvlKuerXMN58lMX8/Dw+/vGP473vfe+GYEYNKTkt\nOqnRAzb976LRKLZv3w6j0YiZmRnMzc1h3759aGlpgV6vh8/nE+3rQw89JFuk2dlZ2ZKpNx2BikUH\no9EoBRav1yvTcbdt25Zx5ac6wm63o6amJmXRoc8wbx4aFzU3N8sNffLkSczNzQnHp2bwVE2srKyk\n/J+cI4sspGOSyaSAg+o1wecj8HzlK1+B1+uVG5C/A9amAHu9XthsNoyOjqKlpUV8h3ft2oXBwUG8\n8MILCAaDOHToEEpKSnD69GmcOHECL774ImKxGIqKimCxWLBz507RdDMT5ueu7pZUGR2BNzs7W84N\nb1BSMDfffDNqa2vR09ODJ598Eg8//DAGBgZQVVWFm2++GTfeeCOGhobw+OOPIy8vDwcOHMCJEyeQ\nl5eH+vp6DAwMoKGhAePj43C5XCJPpAyPPOrY2BhuvvlmWRi4aBMIdbq1adzM4rm4q0VAShPZXEIq\nIBQKpRQ92Q5O6oBgTB49EAhI0wozcw4ACAQCsqui7JH8vNFohFarFT9sfra83lnQ5nugmqSmpgb3\n3Xfflu91qk3UydJq0S6ZTMLr9V6wMxV4XRT0gDcjZZFIJNDS0oLjx49vSM77/X5x6pqamsLc3Bwa\nGxvX6XrV53zHO94BAHA6nfjDH/4gTRikF9ra2hCJRFBRUYGqqiq43W4BO71ej+zsbLnhOYHYYDDI\nBc6hnQS+1dVVWCwWXHPNNVJxBs53CW40VWR0dBQGgwFGo1EsDHlBer1evPzyy2J/ST9nToOgrler\n1cpEYGbN5Iep3+U2m3I4FpWotOANyKLTP//zP4tGmfwzgZ6TN6LRKAoKCjA5OYn6+nrMz8/D4/HI\nDuCll15CIpHAW97yFrzlLW/B/Pw8jh07Jg5etbW1KC8vh81mw7FjxwAgxZSe3/Ocqte1ymWqX1lZ\nWaitrUV2djaef/554WD379+Pt73tbXA6nTh58iQef/xxBAIB7N69G3q9HqdOnUJ1dTUsFgu6urrE\nxYyLIGcGcsEgUBoMBnzgAx/Avn37hD6iOoKLM7Nk6p4JuhyZpWqq1UIyqSiqe1SagoW7xcVFGV7L\nf0nv8Hrn9RIOhwXEfD5fyjGQ7+Y1wMYVAjE5bNXb5PDhwzh8+PCr8pLgANepqSkxQrpQ1yuvh7/C\nUNP0eHOOcLruuuvwta99bcPi1srKCs6cOSMZVG1t7aYn4pprrpGpHl/60pfw8Y9/HEeOHMH+/fsB\nrPFU7H+/9dZbcfz4cYRCIcmw6MLFL4PBAIPBINOVVcDOzs4WHSq3njabDXv37hV/2EyUCmNmZkZ8\ngNVW6ZmZGZw+fVqKbOyy45QHAhSBmh7ELOYwA+Yxkp8nn0qumKBNVYVGo8G3vvUtdHR0yA2p2l0y\ns1OndVRXV6Ozs1N8Cl5++WVotVocOHAAS0tLOHnyJBKJBGpra/HWt74VNTU1OHnyJM6ePYupqSlp\n1gHOj2RSOwzT5+sRtHmdq7pYctw6nQ67d+/GFVdcgZaWFikwPffccxgaGkJlZSWam5vxwgsvIBAI\n4MCBA5idncXk5CT27duHiYkJkZd5vV6YTCZ5z9yhMNstKCjA17/+dcRiMdl1UHrGzytdCkcgJkBS\ntUNOnjsagjdlgsAar52Xlwefzydt6wRjAmxeXp5w7bQb1ev10tTB5ydXTEkhwVkFX/6fX6urq2ho\naMB//Md/YHJyEvF4HKWlpZtajW4lBgYGEAqFsLS0dEFDIiZGf+W26Tdnp96uXbvQ3t6+ISDThaqs\nrOyCZtfswz9+/Di2bduGHTt24K677kqRoBGssrKy8Pa3vx2//vWvYTQaUVRUhLm5OSmE8IvcrGpo\npF4kzIjoTLa8vIw//elPyM3NRX19PQwGA7Zt27bORJsFD7/fj3379okcbHFxEWfPnpWtLjMycoGR\nSAT5+fmSKVF+xEyaGloalLM1lpkueVZmvVxgaKk5NDQk3Cbfr/pYjUYjnGUymUR/fz/27t2Lzs5O\neDweXH755QgEAvjTn/4Es9mMgwcPQqfT4aWXXsJ//dd/IS8vD/v27cNNN90kHW8TExP42c9+Ji27\nzOzUULnGTJGVlYX6+nocOHAAjY2NGB8fR0dHBx566CGZzmKz2XDjjTeip6cHR44cQWVlJa644gq8\n8MILiEajuO666/Diiy9KQ09XVxeqq6sxMTGB/Px8KX6q1wDN6cvLy2UXxZ0Id3HUTnN0EjNsgi6V\nGmx9J/BR9kbVDAts4XBYGjxsNpt09RGkSW1QLUOPYTYO+f1+OQ51PBWLt9xxZAJDs9mMO+64Ay6X\nCy6Xa93Ej7KysnVWo1uJaDQqo7YWFxdTXN1UQyKe/9d7hx7jDZch//znP8epU6fw6U9/OuXnyeT5\nCdA6nU4kRhtFLBbDnXfeib6+Ptxyyy24++67M8rPent7xUjF7/fjpptuQmlpqUyVULMfghWlSzqd\nLiU7Jq2hfpHTZOTl5QlPTcMcl8uFM2fOwOVyYXp6Gi0tLTh9+rTImqgx5Q1MvS/BlR1kavZMoKBA\nn0UTFmR4rKpMDkAKRfDb3/4Wv/nNb1KsNwnGvElZEFpYWEBeXh6sVisGBwfR1NQEAGhvb4fFYsHl\nl1+OgYEBdHd3Q6PRYMeOHdi+fTsmJyfx8ssvizqgtrYWbW1t2L59Ox555BHJgLmAMENj9slMkl9c\nNGhSPzAwIABsNBrR1NSESy65RBp9BgYGYLPZcNlll6GnpwcTExMoLS1Fc3Mzjh49CpvNhoaGBpw8\neRJFRUUygioYDMp5oHyN10lJSQkeeOABAWIWqAmiXNxIDXAXxuyU3CzBkec0EAik6JuZQZPbJb9M\nWRsLfSzQxWIx6dAj901bUO6c2ATFXROLd/TsZlZNLrmyshIPP/zwuvuKnX6Tk5MIBAIyiX2rw0dP\nnDiBffv2pex+M03rdjqdolj5K8ebk7IYHR3FP/zDP+DnP/+5/Cx9AvT4+LiYrGcKehfH43FUVFSs\nG/ypxtDQEObn51FaWory8nJ86EMfwtNPP41oNAq73S5cMm82VeZEQM7JyZFKuqqxZDZL7pkASC8A\nVQ5FkTubHpjRqlkwbyhmLdQdE5TJU/I5uZXnBGdu7cgXs3hGECZHyYXuX//1XxEMBqVjjNtulbs0\nm83iK+x2uxGLxdDY2IhTp04hNzcXBw4cQG9vL0ZHR1FSUoI9e/YgGo3i+eefF10vVSmRSAR9fX3o\n6+vLaCSkZmpqRqSqPtQoLi5GfX096uvr4XK5sLi4iK6uLnR0dCAcDqO4uBgtLS2Yn59HV1cX7HY7\nDhw4gMHBQeH6c3Nz0d3djYqKChmzxCyTBldsOecCnJ+fjy996UvSpEOAA9YKgVxYSF+QLyZwkvOn\nrStnCxKgeY2Ew2EYDAYpBgcCAQFn6pb5PPzMAoGAtFKTGmHmrLaWA0ihqfg7emVzUXzwwQdx+eWX\nb3xDA2KPOTU1BZ1OJ9NONqIYkskkTpw4gcsuu2zD51QNiQ4cOLBpcvZ/FG9OQE4kEmhtbcXx48eh\n0WjE7F31AvZ4PPD7/aipqUn522TyvHfxVhyivF4v+vr6YLFYJKP74x//iJtuugkFBQUwm83weDyS\nGbP5IicnRwT/1PhSNqZmxrxRae5CjpnSLG5NKaIn2DHDZZU8Ly9P5p6xiELAUrlk3kykQ1Qum0Cs\naouptCCHSKDPzs5Ge3s7fvCDH0hWxIIfZU5s4/V4PCgrK8PIyAiKiorEFP7AgQOYnJzE4OAgKisr\n0dLSgjNnzmBoaAhZWVnYt28fysvLMTY2hrNnz0qDQmlpKZqamkRWdvLkSSlMqv4ZKiDzM+SCeOml\nl6KsrAxTU1MYGBjA4OCgUB52ux1NTU1SsJucnER+fj7e+ta3Ym5uTsYOcSGZmZlBXV0dhoeHYbfb\nxQ6Sk1dIEfG8cwfV1NSEj3zkIyk8skpfqA56lB3S64Jgy8Lg0tKS8MAAhCaizphgzO/JS5Nio1Qt\nHA4jNzdXDPTz8vIQDoclC+f1Qa00z3s6h0w5nNFoxNNPP31R9/dmzm6MpaUl9PX1oa2t7YLPx2v7\nr1zQA96sgAwA1157Lb75zW9Co9FgcnJyndl7NBpFX19fiuZR9S6ura3dlOBnC3IgEEB1dbXItRiP\nPPIIQqEQ7rnnnhS7RWbJpCH4PQuAzJZUCoPZtKpwoN6SWbGa6ZLLY4ZM7o+mMWqmzKCqgt15POfq\n4kAumeBOIGZRjrw3v//c5z4Hj8eTkh0zU6LN4eLiIpxOJ6anp1FTU4OBgQFYLBa4XC50dHSgsLAQ\ne/bswdGjR2UydmtrKxYWFvDcc88hHA7DZDKhubkZJSUlSCQSGB0dxdmzZ6XTje8jncfciENW6Yzs\n7GzU1NSgvr4eRUVFMBgM6O3txbFjx7C8vIyamhps374dHo9HjN6vuOIKeDwedHR0wGAwyPTpyspK\nzM3NwWKxIBgMymgi+lOwKMfzbrFY8OCDD0oGSk6ewMFFjZQCZXKqJI78ObNcqh74N8FgUH7HjFjN\njKnEoL1qdna2dC3q9Xoxg+K9QjN9HkO6ooJUCbP4L37xizhw4MBF3NnnI5FIwOPxYGpqCtFoVAqB\ner1e6MO6urotPc/roKAHvJkB+ROf+AQ6OztxzTXX4M4771xXrU0mk3jppZdEHREMBtHb24tt27Zt\nyeeC7l1VVVUAkPJcjEQigWuvvRbnzp2TC5iZMCVOamascszkZ1VOmY8lENPTgfwup1Lw7yk7oiUo\nMxJSCrxpWXQkV0z6Q735uVCo2RyduchpskuLGtT77rsPS0tLiEQiAnLkjvmZ06qxuroa/f39qK6u\nxtjYGADg0ksvRUdHB+bn57F//34UFhbi5MmTmJycRF5eHt7ylrfAbrfL4E7OODSbzWhqapKJ1cFg\nEKdOnRIembsLvm8Gj72lpUVm8Pn9foyOjmJkZETUG3l5ebj00kuRnZ2NM2fOiOPZ3r17EQqF8PLL\nLyMnJwetra0Y/fNEF76v0tJSad4JBAKw2WwptAW5TC6o73znO3HVVVelFJ6o5SbgUXFDeRrPD21I\n9Xo9lpaWUqgOUhgEY3LHVFUQeElf8J6hfI50E2kMtYjHjF1VUvBLBWStVovPfe5zMJlMr7hwGn7g\n5wAAIABJREFUx1heXpZZkRxi63A4Ljj+jO/lr+iBrMabE5AHBwdx6NAhNDc347//+783XPna29vR\n2NgIj8eDmZkZNDY2XpBH2mguXqaWZa/Xi6eeegrt7e346U9/KjebmhGzuEeQVjlmFZjJL6pbWqoU\nmD2zq44ZMjNCVtkJxsyQ2XDAQhabOAjUBFxmzcD5ycYEAaojVHkZLTaHh4fFK0It8FCLTLrC6XRi\nZmYGtbW1UiDV6XQYHh6Gy+VCeXk5XnrpJaysrGDHjh1oamrC9PS0ZKnZ2dloaGhAVVUV9Hq9SNIm\nJycFfIHzZu/AeR0yM3t+fqRgGGazGdXV1SgpKRHXvrGxMQwODkKn02HXrl1wOp0YHh7G0NAQcnNz\nhbqgpwln/tXU1GB8fFw8pvnvRrQFO0Dvu+8+oY14fPSY4DkGIDsYtj1zwVleXhaJGhdZTpDm87DO\nQac3gnIoFJKsm3/DjkZeD9z98NhIqxB8WeijdwjP/yc+8Qlcd911r6pwlx7JZBJ+vx8dHR3QaDQy\nc3CjHgOe61f6eq9xvPlkb11dXbj99tvx5S9/Gd/5znc23YYYDAb09PQgNzf3glOdVW4501w8Diql\nfIx0xq233oo77rgDCwsLOHLkSAqXSb0rwUANdjcRRAh2DDZtsPKel5cnLa6UklEVQX5YzZDJF7Mg\nR5UETWXUrjtuSXkcAESxYbFYUuR39FOgKTkA2XIzc6JB0cLCAmw2GxYXF7Ft2zYMDg6ioqICHo9H\nWsLdbjdefvllVFVVobCwEP39/ejs7ITZbMahQ4dgMpnEp+OJJ56QYlVxcTEuu+wy2Gw2AaP+/n7M\nz8/L58uMmJ8VX4OKhpWVFUxNTWFkZAQ9PT3yXrZv347rr78egUAA7e3tWF1dRXV1NQ4dOoRAIICj\nR49KhjwwMIBIJILq6mqMj49j259HTLHLjaAMQOgetaOQzmTV1dXyM9WtTavVSsbMRhHyycxW6dim\nOrVRypafny9AS1UGf0+wVlvo6SvMzj9y77zm0vXF6Q046v2yfft2aDRrpvT0cJ6dnUVHR4coIDYr\n3GUKjWbNbF+v12Pv3r2Yn59HZ2en2KumT61Wd4FvlHhDZcjsCjKZTCmFvfQIh8Po6OiA2WxGc3Pz\nps+5srKC3t7eTbnlkZERGI1GWCyWFDqDr93f348777wTg4ODkv1QtkavYGbLpDOYGRMI+Ri+Pn9H\nTpdZNE11yB0zI1b/JRhz0gSBjM5h6nQQVW3BbS/VGPx7ZutZWVn49a9/jaNHj0pWpGZQDPoocIDq\n9PQ0ysvLMTk5iezsbJSXl+PcuXNIJpNoaGiQ7WheXh527NiB5eVlnDlzRhaObdu2oaGhARaLRaYy\n08PjYvXHDJPJhJqaGpSVlSE/P1+y4/7+fiQSCdhsNuzevRsajQbt7e2i2W1qasLIyAh8Ph8aGhrg\n9Xrh8/lQU1OD0dFRlJeXi21lOm2hNonwOnG5XPjYxz4mU1xUnxKeI61WKz4hdPHj/5kts/1a7bzj\n6zK7pqMfPS/YAMR7hs+jaoz5PYFYbfxQC3wcm7a6uoqPfOQjuPTSSzecdacW7hwOB0pLSzedB6lG\nIpHACy+8kKKwWFpakq5cm82G0tJSsQbgdfs6iL9shhyNRvHud78bExMTaGlpwY9+9KN14PjHP/4R\nn/nMZwAAY2NjeOCBB+ByufD3f//3Ygrygx/8ANu3b9/Sa9LzFVhrc56bm1vX/DE7Oytz0NRMLlNs\nlVs2GAzwer0YGRlZR2cAQH19PR599FEcOHBAtvDsvuJWTwUIAqBagGJhR9U08yZTVRN0+gIgPgdq\npkxNqvovt/LstuPxsQjEjJLaU2Zb3DYD57vJ2tvbBSTU7jF1e0tDdIfDAbfbLRyr1WqFwWDAuXPn\n4HA44HQ60dnZCZ1Ohz179iCZTOLMmTOIxWKoqqoS43qv14vjx49LtgmsNW00NjbC6XQKFUWVBTPg\nlZUV2Gy2lExzeXlZ/I+npqakNVun06GhoQFvf/vbsbq6Nvrqj3/8I7Kzs7Fr1y4UFBSgr68P7e3t\nKC8vh8vlwuDgIIqLi1FZWYmxsTHU1dVhbGxMplk4nU74fD4BWn5uavExHA5jdXUVDocDKysrUoDj\neSAw85wQdLkrYW0AgLSo819Vu0xfZTaTkFNOJBKy+2PXHXluXsu8dtS28/R7ndekzWYTD+qNQh3J\n5Ha7MTAwgFgstqUOPmb+ahgMBpla7fF4MDIyIu5yrAO9UeIVA/KPf/xjlJWV4amnnsKNN96I3/3u\nd7juuutSHnPllVeK78ANN9yAtrY2TE9P46677lrX2HGxwY69gwcPAjjvMRyPx2UCNAtImWJ6ehpT\nU1Noampad4LVIKfndruxZ8+eDfkqm82Gr371q/jUpz4lPByLXaQy0rWzBEH1Qle7/AjEBFVOPVa9\nJEg78F9mxiookysmMPEx/DmPjVQKALkpCLparRbj4+MpnWc8ZoIdPXq9Xi+cTqeAMSVvS0tLYie6\nuLgoo7Psdjt6enoQDAbhcrlQXV2NhYUF/OlPf5LjbWlpQUVFhbze0tISvF4v+vv7xQp1K2Gz2eB0\nOuFwOFBVVSUuaaOjo+jt7RXv6ObmZrS1tWFqagqnT58GsOansWvXLnR1dcFgMGDnzp2yuyKHXF1d\nLT69Pp9PmkS4G1GNkLgQP/300/jbv/1b2eInEgnxkmAxUFXhkBaj+kbVnKeDMXc9BGNy5Vxg2VJP\n+02a1ZPK4OurfLZqpM9kgwvhhz/8YQDYUiOGVqu96A6+YDC4YTat0WjgdDrhdDpl4X0dFPMuKl4x\nIP/hD3/ALbfcAgC4+uqr8eyzz64DZAa9IlpaWmTqwq9+9SuUl5fjF7/4xSv60Hbv3o2Ojg4cPHgQ\nkUgEPT09cLlcKabzAMTDV/2+v78fyWQSu3bt2pRjWllZwblz54RS2AiMgTXuz+l04hvf+Abe//73\niy0is16VT1azZVUKxaKPystS38x2Z1piktuLx+MCvnycCsr0xlUpCrXYx8yc5t3pzRVq+/eTTz4p\nx64uIjx2almZIZOmKC0tlY6vtrY2canbvXs3JiYmcPr0aZjNZlx++eXw+Xw4ceIEgLXGjerqagBr\nO5/HHnssBXg1Gg0KCwvR1tYmjTdqRx4nUFAN4vV64Xa7MTs7i+HhYXkerXbNlvXaa69FIrE2ffzs\n2bMAgOrqahw8eBCzs7Po6uqCXq9HW1sbxsbG0NPTg6amJszNzcnUk5GREZHAORwOcU4jzUBwU5tX\nRkZGZKfB88xWc9IKBG9+5gRgLpyUOqrubSoFxVrE0tKSDPDl9RYOh2VhZncgf0cVjVob4WfG4DXB\nWYAXSYMCWNvtVVdXo6qqSgqBbIVWC4Ec8nqh4D31RotXDMher1foA7PZjL6+vg0f+7vf/Q7XXHMN\nAKCmpgb3338/brjhBlx22WU4evQorrzyyot+/b179+LHP/4xTp8+jZWVlYwOadyGcUVdWloSlzR1\noGmmCIVC6O3tRXl5OYqKisQXN9NWjRwop0V//vOfx/333y+VZzUjVbNktcCkUgCkCnizsRhHTk/1\nx03nilUwVjNoVSXBBULNkNTXA85P+2CQKwRS7S1Z7KHSwmw2w+/3o7CwEHNzcygvL4fb7YZOp0NJ\nSQl6enpgs9lQXFyMjo4O6HQ6XHrppVhZWcGpU6fEF8LpdCIUCknXnFarRUNDA4qLi4Vrp/H54uIi\nfD6fmN2Ew+EUnXJ2djacTifsdjuqq6tFacD36ff7MTAwgP7+fuTl5Un7dDQaxdmzZ/HMM8/A6XTi\nsssuw9DQEDo7O1FdXQ2Xy4X+/n5UVFSgoKAAo6OjqK+vx8jICEpKSkRlwk45dbFNzzg7OzuxY8cO\n+bm6AKu0BSVn1L2TmmFmTFCm4xzBmN8TjNXFmIVBtVbA851u5M/jZaiNOLfffrtMDX/++eclQdos\nkUmPCxUCg8Hgpp216c/1/0yGTOE7sGZ5yUkVmeLJJ5/Eu971LgBrW8Zrr70WwFqxhpXxiw12cX32\ns5/Fo48+mnE1ZOXYZDJhfn4eo6OjKS5pGwV56MbGRqEzyMOpCgy1ZVtVctx22204d+4cfvGLX4gU\niADJ7Z36HCqHy5/xxlRvSHLLpAeYUTG74Wukg7GaoRO42USi+gkDSAFahkajwa9+9at12TEXBY1G\nI1l4PB4XA5vy8nLMz8/L7mJ0dBSXXHIJlpeX0d3djaqqKjgcDnR1dSEcDkt7+uzsLJ5//nmp/tPv\nmYoLt9udsXWar1NcXCwZs06nQyAQgMfjyVhT4ON5/mZmZtDR0QEAsFqtaGtrQyKRwJkzZ/DSSy+h\noaEBlZWV6Orqgs1mw86dO9Hd3Q2TySRNROSSOf2Zk7258KY70gHA0aNHsXPnzpQMlMCsGjXx79mB\nB0CAWs2QM4GzagvKbJdZM7sDKWUjyKq7Jl4L6V2QAGToKwAUFRWhtrZWNORarfaC7dCZIisrC2Vl\nZSgrK5NCoNfrleLpZlaeb0SFBfAqAPmaa67BkSNHcMstt+APf/gD/uVf/iXj45LJJJ599ll84xvf\nAAB89atfRX19PW6//XZ0dXVJ0e9iYmpqCrfddhtisRi+973vbbg14ZThgYEBRKPRC457Seeh1YxR\nlRABa9l2d3d3Ssu2Gp/97GfR09ODgYEB2SYye1U/G/UCV28A/oyUBFtrSVcAELogkUiktE0zY1Kt\nErmVJz9psVhSsmIW9NKBmBf13NxcSmbH7J4qDFb2tVotIpEICgsLZYRQVlYW5ubmsHPnTvT392Np\naQk7d+7EzMwM2tvbYTab0draCq/Xi5MnTwJYowqKi4sRj8cxNDQkBkA6nQ41NTUoKiqSYhn5TlV2\nqMqzioqKUFVVJZaRLH76/X5MTEzIl8lkQnFxMSoqKoS6OHnypHDYPp8PQ0NDMBqN2L17NwYHB3Hu\n3Dns3LkTIyMj0kY9NjYmCwsNoGjsz3OeXhyLx+Pwer1wOBwp235SUyrPTxc26pCZ6ZLeIviqmTEz\nZTr1cVGIRqOyuLPxhK+ZvmioPhaqzluj0eDgwYOw2+3iI8OMtrS0FOFwWNrkN2qHvlAYjUbU1NSI\nnLK/v/+ChcDXQXfeRccrlr0tLy/jlltuwfj4OFpbW3Hffffhm9/8Jr7yla+k/MGLL76IBx54AE88\n8QSANe/eW2+9FeFwGIcOHcLnP78lI/2UuPfee3Ho0CH86le/wmWXXYbrr78+4+NCoRBOnTqFqqqq\nC86v24yHBiCFI2Z9W8m2p6encfDgQWg0a5NDHA4HrFarVKFVKRwlbqxwM7tTZW5cDHjDEGRZ6GEz\niMopM7tithWPx4WiUHWx6VkxwTmRSODEiRM4ceKEeBywKUDt3GIDArfCXISSyaS0ULMLr7q6Gl1d\nXQCAxsZGxONrI7ZWV1dRV1cHq9UqTToEDxrCkxP2eDyYn5+X4tLFhMViETUA9d7RaBSDg4PSsedw\nOOBwOJCTk4PJyUkZMOtyuUR/vH37doTDYczNzaG2thbRaBRutxvl5eWYnp5GSUmJTKPWaDTyOeXk\n5MgCyO85uujw4cMCJCowEwDVn1GaRtqC8xFVuRy5a2bn5KSpimGRlOeUz0vKQp38wdfgro9GQkVF\nRbjnnntgs9nQ19cHu92eccfMdujJycktqyrUILdMKSsLgbOzs+sKga+jlmnGm7NTT42f/OQn6O3t\nxb333rvud16vF0NDQ1hdXcX+/fs3BWNO6ti+fbvw4unh9/sxMzMjmURDQ8Om2TZfP5FI4B//8R+h\n0WhgsVhkHJHJZJJuPoKx2k5NAE4HZtXNjT9Tdckqp0xFBnCeGiGPqcrc1IuWmS8zzqysLHzve9+D\nz+dDJBKRm5QKEt7QlFPRgYzZoN/vFzCmXHBmZkZaX/v6+hAOh6V4MzU1hYmJCQBrlEFlZSV0Op0M\nv1QN6lmhJ+2SLstixsyGB41Gg2AwiIWFBTlOvmfudPR6PbxeL4aHh6W4VVJSAq1Wi4mJCej1ejQ0\nNCAajWJ0dBSFhYWw2+2S/WVlZUmB1+v1wm63pxj+q5LDdA8Ui8WCO++8E8B5mRnpKoaqTwYguwMA\n8nPSDuTZCc4042c3nUajSRmyyp1OJp8K/p+ATK4+FovhlltuwQ033ABgrUP2Qta3wFpCNzU1lRFM\nNwp2Z1ZWVqb8PJlcb+VZUlIiC/jrJP5vOvW2okf+7W9/u057XFlZecG/u1Ds2bMHP/vZz1J+lkwm\nxWNg586dOHfunHC46ZFMJjE8PIxQKISdO3duWpXV6XSYn59HZWUlamtrNzzW9NfPzs7Ge9/7Xjzy\nyCNYWlpCIBCQ0Umq4kKlL/jFjIg3LnDevYpaVAIfK/gEYU6b4A1Mc6N0zbFKl5CeIK2Sk5ODmZkZ\n+Z6P4XOr21zyxiaTSSRbgUAAhYWFspVfWFiAx+OR/3d2dsJgMGDPnj3w+Xw4deoUgDV5mcPhQCwW\nw9DQkNQqsrOzUV9fL4NeCQyqJy+bVbiVp0KGAwHUad+0mJybm8Ps7CxmZ2eh1+tRXV2N/fv3IxwO\nY3h4GNPT07BYLNi+fTvm5+dFR93a2ipz3pqamjA4OAiDwQCz2SxeHrTFZLcnd0RAKl/PBeTZZ5/F\nwYMH5T2lUxY8b/yefDDpDGbhAISO4C6CNAZVGix8UpWRSdKoUhbk7dU6SHFxcYq9Jt/jhSInJ2ed\nquLcuXPrDObVCAaDGfsF0guBMzMzUmR+o8WrBuSt6JEBrNMef//739/S320WdXV1GB0dFTBTjYF2\n7twpVAGNVtTgvLyCggK0tLRsevIWFxcxMDCArKysdauzGvF4HD09PTAajfL6AHDPPffg3Llz6O7u\nht/vh8ViEY1xph1KJgE+s15SAgCkWMfCHzMiZl9AqkJDbSlWKQpml1wAmHUnEgkcPXpUeEX1ZuWC\nwnZtOpx5vV6Zemyz2eB2u1FTU4PJyUkkEgns2LEDg4ODWF5eRnNzM6LRKDo7O5FIJFBTUwOHw4HF\nxUV0dHQI3dLU1CSeHsFgEGNjY1hcXMx4Dgg29P2gFC8cDsPr9aY8Ni8vDyUlJaipqREwm5qawvDw\nMIaHh1FQUID6+nqsrq5iaGgIIyMjqK2tBQCMj48jEAigrq4OXq8Xg4ODqKqqkgEJ9LYmpRWJRGTm\nHs+RShmxQDozM5MyJYTFN14PzGwJyqrqhudOdYRTrx8urGzkUXlktQimqj8SiYRk0ABSuPpkMom2\ntjaR6KnnYKuRCUypqigrK4PT6ZTnC4VC6yx104Pc9eukO++i41Uf9Vb1yOna44vRMW8UWq0WNpsN\nHo8H2dnZ6OvrW9dJR0B2Op3ys41MhNIjmUxifHwcXq8Xra2t6O7uTnHgUoMKgOrq6oz82Xe/+11c\ne+21iMfjcLvdQlmk+10wi1X5Yd5wzILYrcfKOPkyfq9uYUlxEIy5vWeowA2c91yIx+NYXFyULEoF\nct683OImEgnY7XaZLk1j+YWFBVRWVmJiYgJ5eXlwOBzo7+8Xzen4+DhCoRCKiorgcDgwNTWF8fFx\nAGt0RXl5ObTaNe+MkZGRlK6xsrIy8bJQuwtZtFxeXobJZEp5r3z/sVgMXq8XMzMzGB8fl9csLCxE\neXk56uvrsbCwgOHhYfT29opH8sLCAsbHx2E0GrFjxw7Mzc1hdHQUNpsNBQUFmJiYEKN6+lczQ2UD\nijqOfqOFt7e3F3V1dSl1ArVRg9kxrwtVNqkWLjUajRT0CKpMXNIbOthIku4rzXOtauh5fTmdTuls\nBJDSdv9KIisrS6bDh0IhTE5OYmBgAE6nE6WlpVK43Eq8jrjji4pXDchb0SNn0h5fjI55s2hra8MD\nDzyAhoYG3HHHHesyYZPJhNnZWQAXNhFSIx6Po7e3F3l5edi5c6d0MXGoIkPVITc3N2/Inel0Onz9\n61/HXXfdheXlZSwuLsJoNK7TJhN41S+1yAecz5b5+gRl8sgETrWhhFnwRmBM/TObERKJhGivVVWH\nChxUd8RiMcmQPR4PzGYzfD6fjLqyWq3Iz88XN7T8/HwMDAxAq9WKDO7cuXPQaDSorq6GwWBAKBTC\n0NCQcMa5ubnYtm2bgGw0GpWBrxxXv5XIzs6G1WqFzWZDa2srNJo1e0m3242FhQUsLi4K4Le2tiIQ\nCKQU9ZqamjA8PIxz586hsrISdrs9BZRnZ2fhcDjg8/mkhZojtiwWS0oRlBmsCszJZBJ9fX2oq6uT\nx/L8M+NXM2JSGsyk1cYJAhgHG3BnQ8qEHZZA6mgulTZTM18COHnp3bt3i/SM94vdbpcsXr1eLjaM\nRiMuueQSJBIJzM/Po7e3F5FIBJOTkygqKrpgBvxGpCuA1wCQt6JHzqQ9vhgd80YRCATw/PPPw2Aw\n4MEHH8wIsJQBqSZCbK3eKDbyuKAJDQF5Ix1yeiQSCSkS3XLLLXjyySfh9XphNptTpkIDqUMZ0/k7\nZszpVWQVjKmyYMbIm57ZFfnQgoICAWu1FZt84/Lycsp4eYI5OWve6PTN5dBMi8UCv9+P4uJieDwe\nGI1G5OTkYG5uDsXFxbKAsVFjfHwcS0tLUqALhUIYHh4W4Nn254Gv3IqPjY2leFoAa9QDgVqVFxLQ\nqAZhYWphYQELCwsA1gC6qKgIZWVlqK6uxsrKCtxuN+bm5jA/P4+Kigq0tLTA6/Vibm4Oi4uLqK+v\nRzAYxPT0tKhGJicnYTQaYbfb4ff7UVBQgMXFRQHlgoICkU1SU8xzmq7rXllZwfj4OCoqKkTSxmOl\n2oGZM8GPHsTqeeXvCeCqrwWBnNcW+el07pjHpIIxawaHDh0CAGmgYROV+pzpGuaLDa1Wi6KiIrl2\nl5eXcfLkyQ0nTav3zxsxXjUgb0WPnEl7HAqFtqRj3ijGx8dx88034/Dhwzh69OiG2S5PzOnTp1FZ\nWbnhnD3GzMyM+C1kMjEhd7nVrr/l5WX09PTAarVix44daGlpwe9//3tEo1HMzMzIQFM1E1ELbek3\nCIFYpQ6YWZFPZvZAmkJVUtDD1+12C7hwS6zqTM+cOSM3KZC6vVar9zQ2IkVAPwqfzycKAq/Xi7Ky\nMoTDYWkYAdbmFWq1WtTV1UmWnEyuTT8pKyuDTqeTqRFqYbG4uFjoCtIrgUBAvlf9Hbh15+fESCQS\nCAaDKQU9YC15cDgccLlcMjBzdnYWlZWVohYZGBiQeXzj4+OYnZ2Fy+XCwsICcnNzUVhYiMXFRcmU\nLRYLwuGwyA25CKryN5VPZmG4oqJCjpeUg5opUz88MTEhE1UIwARRlQ8mr83EgUCvUlrp2ngA6wBZ\no9Fg//790qDS09ODhoaGlJZmPpcK9q8maw6FQrBarbJwLiwsyKTp4uJilJSUpJhovVEB+VXL3rai\nR86kPU7/u4tVWcRiMYyPj6OqqgptbW04duxYxr+fmZnB4OAgamtrN50wQI+LRCKBSy65JGO2S9/d\n4uJijIyMZGzXVoNcdW1tbYoVYVdXF+655x4kk0lYrVY0NTWhoKAgRZtM2Rv/Tz6RmQ23scB5sKT6\nQr3BVDBmlssbiy3a5HVZQFldXcWxY8dSpG7UqfJLba8lj8kFgoBhMBjgdrtRUlICr9eLUCiE0tJS\nkZ2ZzWbY7XZMTU1J4ZXnaGZmJsVLuLCwUHYTpCmYxb+SIPCS4opGo/B6vbJry83NRUVFBXQ6Haam\npqTxZdu2bYjH45iamkJOTo5kxKurqygrK8PMzAyMRqPosumNTGWNVqtN+T/Pq+qPnZeXJ5NR0q9Z\nLsbxeFwsOwmSAFIoBdYFyD/TwpMNJeSS1UYaVeLGIaaRSAThcBjBYFCmnN97773Cwbe0tGzaHp2+\n+3slWXNXVxfKysrW+VjE43FZOHNyclBSUoKioqLXo4/F/60OeSvyt2Qyife///3o6+tDYWEhHn30\nUTzzzDOv2I6T8da3vhU/+tGPUgp0tFBcXV2FxWJBMpncsAc+Eomgu7tbtLAbXSSrq6t4/vnnYTab\n0djYuKEOOZlMYnJyEvPz8xmHqU5OTuLo0aN46KGHoNVqUVVVherqahiNxnUNI6oumYBLkGXXFrNi\nFYwJvurCQuUEeWcAopCYnp6Gz+fDvn370NHRAY/Hg1AolOKFSztQ3sCUSbEzjNtmTsOen5+H0+mE\nx+NBPB5HSUkJZmZmsLy8jNLSUiQSCUxMTMi50el0mJ2dRSAQQDKZlC0pC3Uej2cdXUETIX52fO9q\ndqYa40SjUfj9/hRtLwHfZDLJ9p+NQPn5+SgrK0MikcD09DTi8TjsdjsKCgpEOVJeXg6/3y/va25u\nLmVSCG1SqZxgYZhe2Mx8VYlefn4+rFYrDhw4kHKsPI96vV74bjbgcBehqiBUbTL/z3PH87nRfDy1\nASQUCsHv9yMej+Oqq65CZWUlQqEQmpubL0rRoBYFLyZrfuGFF7Bnz55NXysQCGB6ehoNDQ1vWEB+\nzbQhW5G/HT9+HCsrK3jhhRdw5ZVX4siRI9Bqta/ajrOtrQ1nzpwRA6N0gA0Gg5iamsr4t2wKuVC2\nS5mcVqtFc3PzhnwxHeLoCpaJq+bctqNHjwpFQv+Fjfhkfs9tKC9k1dUqnftTX5vgrSoxqNXNz89H\nXV0dcnJyMDs7Kz9Xn5OZM5+bVflYLCb8cX5+PkKhEBwOB+bm5uByueD1epGVlYXi4mJMTk5K4Y7g\narFYxKrT5/MJEJvNZoRCIfT396cAksvlEgUDKZHl5WWEQiEsLCwI7ULQItdKAGR7NLAGXH6/X8Z8\nsfGnqKgI9fX1iEajMlWkoKAA1dXV8jN6b/j9fszOzqKwsBB6/doAztLSUszPz8vEb41GIx7H8Xhc\nJHk8n+R4VU0yryXuAlW7y4GBAeh0OtTX1wvAcgFmAVfVpqseGnwsi4Lq9ZIJFFXpWzKZREFBgSyc\nFxoWnCnU10mnNNJ1zwy1SWmzMJvN0qr/Ro3X7Mi3ImPjdAQAKSvYq7Xj3LVrlwByJoBe24hCAAAg\nAElEQVRlMU4NNoUEg8ELNoX4/X6R1M3OzkpXWnqEw2H09PSkFDcyRV5eHqanp/H1r38dt99+O1ZX\nV3H27FkR2PNGVT8H9WJVlRT8nhdh+s0NnFdTZAJjRnZ2NqLRKDweTwpfy+0ls28GszxOMSYoOxwO\nyYz9fj9yc3NhtVoxNTWFvLw82Gw26bgiT0yf5cLCQhQUFEgXHLf1paWlMk6KPsixWEyKjplCdXvL\nFNnZ2SgoKIDVaoXL5UIymZQmEbfbDbfbjaKiIlxyySUIBAKYn59HOByG1WpFUVERgsEgZmdnUVpa\nKhJBp9OJnJwcoWnm5+dFe0ylBQfScvfDc5reaUiwIhdNrr6np0fUKTQQ4rlTHf0Iyurzq3pyVVtM\nsE5vpuB1yMKoRqPBtm3bUF9fD4vFIouV3W5HaWnppr7imSK9aJhurMRj4fu8ULzRC3rAawjIW5Gx\ncWz3Y489hlgshuuvvx7Dw8Ov2o5zz549eOyxx/CTn/xEjMVVOkHNGFj0YVMIpU+ZQqUeaK0ZCASw\ntLS0DpDpb9HY2LipCxUAmfobiUTwmc98Bvfffz9WV1cxPDyMHTt2pGTJ6RkMb7JMWVV6AY7/B86P\nQ88ExsyeCXTqa/O51GPSarXSeRaPx2E2m8X31+fzwWazia8FpWAmkwlGo1GUCS6XC4uLi1hcXER+\nfj6KiooQi8UwOTkpagCXyyVFLI/HA5/Pl/I55ubmClXB7T+Pkb4d6uBW6qZDoRAikQh8Pp88p9ls\nRkFBAerq6kSn7PV6sbCwgJKSEtTX12N+fh6hUAg6nQ5lZWUIBAJwu92w2WziW+FwOKDX6+F2u+U9\ncrae2WyW6RzccVBXrrZ/q+d6ZWUFXq8Xubm5GBkZgcViQVlZmfyeDoR8fzyX6nWfKUsmtcXzyt/z\nelGzV14TFosF11xzDaxWK4C1STn0p+jv78fq6ipKSkrWzba7UGyWNWs0mk1N6Td7rjdivGaAvFUZ\n2xNPPIGvfe1rePLJJ6HT6V4TO06r1YpTp06hvLwcf/d3f5fxhFBDTKnahZpCVlZW0NfXh6ysrBTq\nIT3bTiQSGBoaQiQSwa5duy64XSK3t337dkxMTGBlZQUVFRWYmprC1NQUysrK1lEX6o3CLIihUhMq\nSPN3qgdyJjDm4whSqhtdurKCmTJvYDrJraysTZmORCKiteV58Xg8sFqtyMrKEvAymUyYmppCPB5H\ncXGxUCUsEFZUVCA7Oxt+vx9TU1NyvPn5+SgsLEwxjWH2Rl0ytbX8Gyov+Nnl5+fDbrcLIMbjcfj9\nflkgNRoNHA4HSkpKoNFoRP6m1WpRWFgIl8uFubk5zMzMiOMcXe0o9bPZbMjKyoLP5xMwttlsCAaD\n0nFIbpnAqp5L9ZwmEmtWqcFgUHS56jliEY8St3Sagtk2n1Ntv6bKItMug8eoel0fPHhQwFi9RgoL\nC1FYWJgy9YOyNBorbTXUxQhYu19mZ2dht9u3lAG/URtCGK8ZIG9F/jY7O4svf/nL+O1vfyvbm1dr\nx/ncc8/hox/9KAoKCvDJT35yw5OVn5+PsbExRKPRCzaFkHooKytbV+XOz88XX11V0raZvwWAlBtJ\nr9enXMQf/ehHcd9998lwT86eU7lklTtWVRRqFgukNm9QW0w6JhMYc6tKo5j0RUBVZjDjYkbHoZnk\nIgkwsVgMdrtdMsbV1VUsLCzA6XSKDpktrqFQCNPT0wAgZuY0cgLWdhMs2mVnZ0sTRygU2lIziApe\nAKQoqNVqYTQaBUhLSkrERY6Zs9FohMvlkqLWwsIC8vLyUFpaikAgAK/Xi4KCApSVlWFubg7Amhfw\nwsICrFarTOPgcFb6ImdlZQm/TG6bGXK6VzIXP7rnsZ06nT7S6XTCp6ut8OnnLh2MM0nc1Os1Eokg\nmUyiqqrqgsV2derHwsKCDKEtLi5GcXHxpmZc6UGOu7u7WxRAfN8bFQLTab43YrxmgHz48GE8+uij\naGlpQWtrK2pqavDJT34yRf72wx/+EDMzM2KX+cEPfhB33303br31VnzjG9/AzTffjMbGxot63c7O\nTjz11FN48MEH0dHRgauuumrdY7jtW11dxZ49ezZdRS9EPdDQeyNJW6ZQ7Q/VjA1Yu4hrampw5513\n4rvf/S7i8Tja29tx5ZVXZqxIqxdcurG8mh3zRiRwZwJjPpaSNhXgCMRqsYjFMXK33C3k5uYiEomI\n2RCLdHa7HfF4HKFQSOamkdowmUyYm5tDNBqFw+EQjpWqC4vFIsU7rVaLQCCQsjPR6XRiY6rK/dJD\nLWDRBY2TRSKRiAC8TqeD0+lEZWUlVldXZQLJzMwMzGYzKisr5bHT09Miw/N6vUgkEigrKxNlCjXJ\nBQUFAoy0RKVqhkNpeX2oIJwONjz2paUl2WmEQiEx4Ukmk8KzcrQTzz+viUxZcqaCntohSpmcTqfD\nO97xjk2vcTU0Gg3sdjvsdjtisRhmZ2dx+vRpGAwGlJSUwGazXRA4l5eXcfbsWZSUlKC0tBRA6mKx\nUdPJGz1DfkPbb6rxP//zPxgfH1+XmTPbLS4uhtvtRltbW8a/J/UQjUbR0NCwIfWQTCZx/PhxGfVz\noWKDagCTbnWZHv/2b/8mmWFFRQX279+P/Px8cQujokKdv0eAp5pALQ4B54t16dkkF4dYLIZAICAa\nU44/UjWpvDnV1l2OpyKvnpubi2AwiOzs7HUz2ux2uzy/w+FAIpHA3NwcNBoNXC4XVlZWMD8/L9m8\nw+EQKoHgzwXAYrGI0xwXOh4LFx1ut1WlATNtcs0EJmqZVTtOq9Uq7ehUYpDK4ARyGgeZTCa43W7o\n9Xo4nU4sLCxAp1ubjs4OPfLGnHu3srIi+mG2uHPhVDXmVJEYDAbJ5s1mM3JzczExMYHx8XHZaTgc\nDuGjKW9joYyyN9JL/MxUuodSt0gkIq6EbrcbsVgMzc3NQiu+0kgmkwgEApiamoLf74fL5drU1a27\nuxv19fUbJjuZkhVea6/TLPniZG8ajaYRwHf//G0LgHckk8nnL+YVt6JFzvSY5eXlV23FuXv3bjHB\nZ3AUU0NDgxSUMm1rOFLIbrdvSj1Q0sYq92ZgnE5RbEWKc//99+PjH/+4bONp96kumuqxpWfHKpdM\nDwTVo0D9OxqZ88ZUsw6VBlEzKnXwpU6ng9FoRDgclg49m80Gv98Po9EoBTWr1SpTuEtKShAMBhEK\nhWAymWC1WuF2uxGJRJCVlSUeBfPz84hEIgDWFhR2MyYSCSwtLQlQbyU0Go3wsKrygpSFwWCA1WqF\n0+mUnU8oFJJGFZvNJsZJfr9fpqHEYjHp2iwtLZUiINUlkUhEhpySslCLepymzYWFShn1c0/PXFU9\nNc3yOdpoaGgITqcTNTU1yM/PF+/jjaRt6s5HvWZVqoIql7e97W1b+qwvdB4sFgssFgtWVlZkvJO6\noGi1a0ZSQ0ND2LFjx6aqjfTP5pFHHsFPfvITHDly5PUKyFsKQYlkMtkD4HKNRnMtgA9fLBgDW9Mi\nZ3rM+Pj4q7bibGhowNDQkKyctHhURzGxYq+OKKe1JidVbBSqpI3+GBtdMGqLKbvhthJarRaXX345\nnnvuOUSjUZw4cQJFRUViEsRQ5Uzp21xVRkQwTQ8W5tSurkwSKWb1vMAJslRYJJNJGRtvMpmkQYT8\nMrfuiUQCFosFi4uLWFlZgdPphE6nw9zcHBKJBFwul8jn5ufnRe9qNpvludxudwqg6vV6GI3GFBN/\nYH3BR/08uABx0gUpCz6OBkF6vR6hUAjRaBTz8/MyJJWKgvn5edhsNpSWloopkcvlgt/vF5laMBjE\n8vKyLEh0e7NYLIhEIuJPnUwmZdejyhlVYFavKzqqEbyNRiO2b9+O1dVVuN1unD17Fvv27RMvZV4D\n6sLKn1PfrRbRuGuIRCLQarW4+uqrL4r73UoQhNUawuDgoOyqdu3ateXGjkQigQcffBAvv/wyfvnL\nX77hKYuUtE2j0ZQD+DyAg6/kybaiRc70mLGxsVdtxZmVlQWj0Yiuri4sLS2hpKQEdXV1KTcorTip\nOJiYmIDH40Fra2sKSKfH/Pw8xsbGJNOemZmR7VF6bMYXbxaxWAydnZ3Yu3cv+vr6MDc3h9XVVfz+\n97/HjTfemOJ3wZsrnQsEzt9cvPHSu7zUok66IkF9Dv5LNQIA0c1SakWTGhria7VrM/aosvH5fNDp\ndFLg02q1sFgsAoq5ubmw2+1YXl7G7Owsksk1f2WbzYZkcs372O/3C6BaLBbk5+enGCyx2ywcDmek\nK/gzbv1pIK8uMmwLZsHPbDbLQM5AIIBQKAS32w2j0Yjy8nJxmYvFYiguLsbi4iI8Ho8UaQOBgKgr\nVlZWJDOmBjk/P1+OS1XUcAEk9ZReM1D5XXofs2GEDS2UDxqNRoyPj8tcwvSmoUzBDDwcDiORWDOs\namho2NL1+0rDaDSitrZWCpc6nU644wvJ56LRKO6++25YrVY88cQTr/nC8dcIlbLIBvBDAHclk8nA\nxn+ycWxFi5zpMa+VFWdRUREOHz6MH/7whxnbpLm1tlgs6O3tRW5urlhrZgpV0qZm2gaDQbheNWhJ\nqXK5Wwmfz4fe3l7U19fDbrfjnnvuwRe+8AX4/X6Ew2F0dnZi//79KeYpfA2CKaVm1Jaq8jQ1VBpD\n1XwCmWVuKtVCDwuNRiMj5ckXRyIRsd2kf4Ner4fJZBK/ajqgcfS8Xq+XRhS9Xg+bzQadToeFhQXJ\nXHNycmCxWGSSNq0+t6qyYGSiLNiirs419Pv98tjc3FzYbDZ5P0tLS3C73bBYLDAajfD7/aIeCYVC\n8t71er1I3VQ/DrUxh6oUdfqKes2k73oY5IXV6yxdScKg6RULqemjoNTzz0SC712n0+Hd7373lj/f\nVxrxeBydnZ2wWq1oaGiARrNmh0r5XEFBAUpKStbJ5zweD26//XbcfPPN+NjHPvaGpinUUDPkd2ON\nO/7Wn9/cN5LJ5M8y/tUGsRUtcqbHsE9+s7/bLBKJBL7whS/g3LlzuPXWWzcs3DG7dbvdqKio2NT5\nbTNemROo1dcnRcGbayvBxpOZmRns3LlTDFpyc3Nx4MABHD9+HOFwWEYDXXrppSl/r960er0efr8f\nhYWFMtMtHYyB8zI3Hnd6YUSVurEYxCBVoyosuOtQi1jhcFiKaGxqUBUJRUVFonzRaDRSuGQLdDKZ\nhMlkgtlslkYer9ebMtBUp9OlzCRUlQkqiKVnzTTNiUQiUqjk8+l0OrkmCPos2JHOoJIiLy9Psn3S\nFDx+WoGqY5w4DZwG8+o0cHXx465qI9pCfS8E83RA5u+oTbbb7Sl/o2bKavFvZWUFPp8PiUQChYWF\nm1J4r0VEIhGcPXsW27ZtS7kX8/LyUFNTI65ulM/l5ubKjuSDH/wgPv/5z+Omm276ix7j/3XImU4m\nkw8lk0lHMpm8/M9fFwXGwHktMrBGTWSSoGV6zFb+brNob29HJBLBj370I/T392/4uEAgAJ/Ph8bG\nxk3B2OfzoaOjA9u2bUNlZeW61ZcXOnC+2MKt+1bBeHV1FT09PQgEAti9e/c6t6xDhw5JVV+r1aK3\nt1c410xFPq1WKzceb9L+/n7JNNXgTZhJUqeCMvlkcpwEEhYE8/PzxXaTbcH8LNi9R+cyv9+PnJwc\nFBcXi6ERp4gYjUYEAgFRbbhcLthsNsRiMczNzWFhYQGrq6swGo0yPaKyshLFxcXiAKcqBILBIHw+\nHxYXF8VZjmqRvLw8FBYWoqKiAjabDTabDUajERrNWnPM7Oys7KLKy8uFPmHWzmyN6hmTySSZtV6v\nF3oiOztbmpEKCgoQj8dFWcFjVk2g1GtHXRQzFfjUzDaTHpfXl9oUAkDOXfq1wIQiEAiI0uXGG2/c\n0nX8SsPn8+HMmTO45JJLNrwXKZ9raWlBW1sbRkZG8Pa3vx033HAD7rrrrr/4Mf414jVlwA8fPoyp\nqSm0tLTAZrOJFnmzx1xzzTUZf3YxsXv3bnzxi19Ea2srBgYG1ultE4mEUCPMxjJFMrk2smloaEiO\nZaPQ6/WIRqMpNopbpSgikQhOnToFi8WCpqamDUH8gx/8IKxWq4D1kSNHZKx7Opjy/yyIsROsu7sb\n7e3tcLvdKSBMS8b0rDK9K08tlrG4SKkWi3qkIPj69P/Nz88XmojcsN/vRywWE6BmKzPn29lsNoTD\nYbjdboTDYej1ejgcDpSXl8PhcCA3NxfxeFxGMLndbvj9foRCIdEXU8ZFqRczV7/fD7fbjZmZGeHo\nc3Nz4XA4UFZWJtriWCwmZkc8LmqiOcjV4XAgmUwK4Obn54sywWw2C8/OYaL8mdFolIYQfsbq0FN+\n5unUUTptof4/EyCna8p5DtMfw+w4EonILvXAgQN/UYOemZkZ9Pf3o62tbcMp7+lBGsjhcOA73/kO\nXnrpJezdu/cV26++XuM1/dRzcnLw1FNPyffRaBTnzp1Da2uryNnSHwOsFYvsdjs8Ho94y74SW062\nxlJqxGPo7u5GYWEhysrK0NfXJ1tsNShpy87OvuBEEWBt++7xeFBcXHxRVn8ejwcDAwNobGy84MVo\nsVjQ3NyMs2fPIhQKYWVlBY8//jj+5m/+JmWunpolkzpJJpPSIUVpVCwWQ01NjWS+qokQwTiTOQ2L\nJfSYYLMGb2garXNMkd/vFyvMQCAAo9GYYhepZqQAYLfbodfrRatMSoQc68rKinDPapAWIbhlahSg\nDpe8K32A2WxBLwv6YpAuI7jTaJ+NKuldfNRwm81maRpKJpNC71ACqGqPVTCm/4baDp5e3EvPlBlq\nATc9VKVNpt8B54uE8XgcHo9HVEE8x6+1hWUyed7Qays2A4zV1VXcd999GBwcxDPPPIP8/Hy8853v\n3LLp0Bsp/qIaEUrcOjo6sLi4iN/97ncZH6facgYCAaEv7rrrLhw7dgzHjh3bskdya2srOjo6AAAL\nCws4e/YsamtrZfQ7OU81wuEw2tvb4XA4UF9fvykY8wJm++zp06cxPj6ewrVmCl6MY2Nj2L1795Yz\ng4MHD8q2nnKskydPCtCk7wbSFRPAGndeX18vPCdwHqgyURUqL00wZiZH8FDNitiMQL0ti2U0YcrJ\nyZHiH8GYYFVUVASdTiccMe0x2ejAbBdYA2CVtigtLYXJZJJjXFlZER9fKie4o6BqIScnB0VFRaio\nqEBRURGsViuys7ORSCQQCATg8XhkYSkuLhYahgNfCwsLYTQaxV/CZrNJpq/RrE1QJm3EidwshKpN\nKgRcAKK0ICCqHZjpOxiV++X53qigxedkcFfE37Hoy89ep9Ph5ptvhk6nw5kzZ8QX+yKbxzLG6uoq\nOjs7sbq6itbW1i2D8dLSEt7//vcjmUziF7/4RYrU9M0GxsBrnCGnx1YnS7+Wtpy7d+/G6dOnhS9L\nt9ZUh54C6yVtm4XKF1ssFlitVsTjcUxPT+PUqVMwmUwoKytbB7bxeBzd3d3Iz8/fUvadHu9617vw\n8MMPA1ijOwYGBrCysiIFjY0aR9TX7+rqwiWXXCLFJDaPcGtLQKb/BW9WggRBkX4JLOqRJyWPzGYH\nFreSyaRIDdl2nUgkRFHh8/nEqIiVdHYMAhA+WvXJIFd8oUWQ7z092IhiMBiQn58vnDC79kiJ8JhM\nJhNCoZDYbFqtVuG9/X4/LBaLLDo6nU60x5Ri0muC6hhSPZwKzn8ZaldnJg45nU++0PVEaoWOcNwx\nrK6uIhgMynzB5uZm5OXlyeRndtYNDAygsLAQpaWlrwgE2QZdXFyMsrKyLf/d7OwsbrvtNtxxxx24\n88473zRKis3iNQXkj3zkIzh79qx8r9frtyRney1tOevr6/Gf//mf8Pl8+OxnP7vuYqWJutoqrUra\nNgpuedPlSXq9HpWVlaioqMDi4qIYGHHWXiQSQVdXF6qqqi44z2+jsFqt2L59u0xmjkajGB8fR29v\nL1pbW1Mey4uWQBsKhdDV1YXq6mrxh2ZWxRs/PZMiAPAzYTMCeVmCsKq0oFSKhjoEOWbG/DkBi3pd\nZpXM/skJMptmgZIgrHKjqrxQbZbg8VNVEY1GpcDFTjfKq9h1SAMjHvfS0hKWl5fFeN9msyGRSIj6\nwmAwwOl0IhgMYmlpCXl5eSldiVarFeFwWD5HqkmWl5cFGFkoJR+vdnSq52cjDfFmtATPIwf8kv9X\nC4KxWAxTU1PQatfsVFtaWlL+3mw2y+exUWfdhYLXX11d3abuiunR1dWFD33oQ/jyl7980T0Jb+R4\nTQH5W9/6Vsr3hw8f3rKc7bWw5Tx9+jT+6Z/+CSsrK/jc5z6XcUWl7OvMmTMXbJUG1rdAb1SA02g0\nUrVfXl7G9PQ0jh8/jkQigcbGxpTp1a8krrrqKuH52L327LPPwmAwiCETmwt4083OzmJ0dBTNzc1i\n+5jOQaqZMTMnACkcM7Nidago3cpomsOmkFAoBKPRKBwtuVEqKPLy8kT1wEYN+lYkEgn5Gf0y1HFL\nBF76epDH5uQS2lDys6B6wGw2p7jjkT6gPzIVGio4c3YbM2OfzweTySSNLJFIBIlEQhQU7GwjENM8\niP4VAMSmVP0dG29UlYU6povvm4lApmt1o+tXo9FgcnISZWVlcm7Vz2VkZESaRg4e3LgXTKfToaSk\nBCUlJSmt2g6HA6WlpTAYDBn/zuPxYHBw8IJt0Olx5MgR/Pu//zseeughNDU1bfnv3gzxF6UstmLJ\nCbw2tpzJZBLf/va38fOf/xzve9/7pNCSHj6fD8vLyyKb2iwIxuRTt0o10LTHbDajuLgY09PTGBsb\nk0r+xZh3q3Ho0CE88cQTAiqxWAzPPPMM8vLyUF9fL49LJtfG/ITDYezevVs41nQuMH1LzAwXgGSS\nBGZmyCp4831QkhYMBmEwGOSGZ7GPbebUSlMJQq0uTeRNJpOAN8c5aTQakZapr8duv3StdSaKItMc\nPg6RtVqt0Gg0As40KuICQk44GAyKgRELeMFgUK6z3NxcAWKLxYL+/n6MjIwgEAjAYDCguLgY1dXV\nIofjEFhmyuo5ASDXnLpo8veZ+GU1kskkpqam8P+1d+VRUd1p9hYggiAiiyAUIiiKIohLayfTcZnk\nxDYuiUs6jLuA9klrdDydxNg9Z0ZP0kmjPWY6pkHFaFxjN07SEe3ELWo0QQ0wUUAplaXglWzFLkVR\n25s/7O/l1eNVUVVQbL57Dgcoqur9Sl/d99X93e9+Y8aMQWhoKEf6RMbUZk2fUOLi4mzewKNWbZPJ\nhOrqam5SeEhIiNm5XVZWhurqarvaoFmWRXp6Oj7//HOcP3++00VMX4RT097EJkuXlpa2m0qdkpKC\n9PR0buxRYmIi5s6d225Sta349a9/jZdffhnPPffcTwv/Z6t0TU0NfHx8MGTIEKv/4faktAlfc35+\nPvz8/DBy5EjuzUKz2Kqrqx0eeQMAd+7cQX5+PheoTtkcycnJHKHJZDIoFApERESYvVkpM5dcBlRd\nUuoX/Ux/4yeC8Vt2ZTIZtwlE+RUtLS1cxUp/o9dNbd+0mUrVITkqqGuPZAkCNX3QOokQ+aDzlzbJ\n+O3i/I/0tHaxTTAiSSIOirqk10obk3Q7Pb65uRkPHz5EcXExVCoVKioqUF9fz62R5Aq6iNFcvvnz\n53MDO+kCyL8Y8jdU6T585wX9Tvd3c3Pj/OYmkwn37t2DTCbDlClTzIac0oanWq1GQUEBTCYTBg8e\n3Okkt9bWVqhUKtTU1MDX15fbexg/frzN7xuDwYBt27ahrq4Ohw4d6o8bdt07ddoSbEmAA4Cvv/66\nnc0tPDzcoRS4/fv3Q61W44033gBgbmkbPXo06urq0NjYiFGjRok+nqos/klvC4Qt0GKggBqGYcCy\nLORyOQIDA+3a6Lt48SLn0yXiGDhwIBYuXIigoCDO7SAEyQp8pwU/lpEImQiQSLitrY2ryOnfhkiZ\n/Nik2ZKrgDbJaNOKdFxPT0/Owkfty0ajkZs0LZPJOMuc0WjkJAMCuTqoYuafDyaTifMu83V+el1u\nbm5cDga9ZnJh0HPTBYmyj0tLS1FVVYXa2lo0NDRwrdWW2pWFFkK+zk2/u7u7Iy4uDgkJCYiKijJr\nUaeLAkksdH++DY7kGpIxWJblug7z8vIQGBiIsLAwrgKn10pe4+zsbM4l8+KLLzr8iU0InU6H3Nxc\nroMwNDQUQUFBHe7PNDc3IzExEVOmTMH27dvt3vTuI+jeqdOWYEsCHEE4ffrAgQMOpcBNnToVO3fu\nBCA+eNTb21t0CrWterEQ1AJdWVlp1gItBheXn0beaDQaMAyD4uJizspl7bGEWbNm4cKFC9ybnyrl\nb775BgkJCWZVoSXwvcu0qUdvbtpgIpsUachEFkTO5NSgNxxpo0SA1AxhMBjg6enJeY0BcO3FGo2G\na5Qg7ZhC7amiJQIm2YgkEar0iXQIQhlDqVRCqVTCaDQiJyeH+/RD0oRWq+UuTNbAlwjoYsCXfMSc\nEWINHq6urigsLMQf/vAHLFiwAK+88gpHvMBPY6eoIOBLFvzziOx1BoOB2zwbPXo0t+FGF0m60Gg0\nGo6MBwwYgGnTpnUZGVMbNG1ea7VaVFRU4IcffrA6zolhGKxYsQIbN27EypUrnwonhTU4nZBttb4B\n7W1u9jyWjwkTJkChUODixYsYMmRIO0sbEQwfjqa0GY1G3Lt3Dy4uLpg8ebJdJ/igQYMwZswYGI1G\nVFdXo6CgAK6uTwZoBgQEWDw5ac5fbm4u92ZtbW1Fc3MzPv30UyxZskRUjuFb3Ah8kiAiJw2cr9mS\n1OHh4cF953fCyWQyeHp6ciRO3lzq3DOZTJwVjCo3vmRBkgBlWVA1TV1sJKG0tLS0I06+C4E2bW/c\nuIEff/wRd+/eNZuGItSY+SQr1Gf5twkJVejfFuq8YqQsRtDnz59HcXExEhMTER4ezpEyVc30mqjK\nlslkXMeaRqOBu7s7Z2ukzVs6R+g107/9jRs3uJbt8PBwu1wP1kCfDPnNTh4eHkBZLEQAACAASURB\nVIiIiMDIkSPbjXMKCgrCwIEDkZubi9/85jfYs2dPl2QuW8LOnTuRmZkJb29vfPnll13e8NKV6HJC\ndtT6NmrUqHY2N0dT4Ggj6cMPP8SpU6faVZ2k0VE3kqMpbRqNBvn5+VyTgqNwdXU166pjGAYPHz5E\ncHAwQkJCRKNBg4ODIZfLwTAM99GVLE7ffPMNXn75ZdETj0JnyBsr7Mqjv1GFzH8ckaZwwjHJB5Sm\nRqQNPOk2pO44aiUmr++AAQO4/xuyIpLOTfnAYiltVE2SE4P+DZVKJb7++msUFxdDrVZzhMT/yEyS\nBUHYcEHHoL/xf+cTtpB8+eTMJ18hcfNJnX5WqVRISUnBihUr8Oyzz3L5JXRxFEog9P/68OFDTJ48\nGVVVVYiPj+d0V3p+0o/VajWysrK4czwgIAATJkzo8Ly0BZWVlSgrK7P4yVAmMx/nVFFRgYSEBLS2\ntqKyshJnzpwx25DuahQXF6OgoADXrl3DRx99BIZhEBkZ6bTjdRZdTsiOWt/EbG62TrLmo6KiAsuW\nLYOPjw/eeecdixIAuQLIicHvnLIFZOkZN26czV13tsDb2xvR0dEwGp9M2719+zY8PDwgl8s5RwAA\nLpozICAAdXV1Zs6L+vp6HD16FAsWLGhXKdOkCro/NbrQG570P4ra5IeYE5nTY3Q6HUcQra2tHDHT\nxhd12plMJnh5ecHFxcVsY4/+TrnKJGuYTCa0traaRYrSWCOqTvn5uaWlpfj+++9x48YN7uJqrQoS\nXnDFCJruR3ss9LyksZPsYTQaMWLECItuCEsVNt2Pry+fOnUK9+7dw5o1a8x8vlQp85+b9h9os5Qv\ne9E5bTAYUF5ejuzsbABPiiNfX19MmTLF9hPSAqjztKmpyeY2aHd3d4SFhWHmzJk4d+4cpk2bhoSE\nBGzevBmrV6/u9JrEcOnSJdTX12PGjBkICgri9pV6K5wuWdhqfROzuT1+/Nimx/Jx8+ZN/Od//icU\nCgXu3Llj5rTgw8vLi+uyskeioBOxsbHRLkuPvXB1deUq78bGRqhUKty/f5+z6lFVNGDAAOTk5HBv\nWCI4g8GAb7/9FrNmzTK7kBGZENkKq2QA3O20DtIiqSIm+xTN9tNqtZzmTsTs5ubGNUaQ75e0Yso2\npiB0qpyJiKmy42/ekY+WZr8BQHl5Oa5evYqHDx9yTSd8yciSZ9eSH5t+1mq1XMIcrUUIql7pQs4n\nTUvfxW4T5lQ8fPgQKSkpWLZsGeLj480aRWiNrq6uKC8vR3h4OEwmE0aNGsUVMQUFBYiPj4er65Og\n95KSEshkT7otKRuls0HulFRInbC26r46nQ6//e1vYTKZcOHCBbi7u6OpqQklJSWdWg8fwk/o33//\nPdauXYvTp0/jmWeewfXr1y1yQm+A010WtlrfKioq2tncxB5r639+dnY2/vu//xv79+9v9zfajVco\nFPDw8EBYWJhZ9WkJpNXRlIPu3oCgFtSWlhb4+/sjLCyMkwTu3LnDzXIjUiatNT4+HvHx8dzzkNtC\np9Nx1SYRHt/2xq8E+UE05EemBhXSfKnSJU2bpCFyghAR8htQyBJHG2vkbyZpgTbv+PJJa2srvvvu\nO1y7dq3dNG1r2Q6A+Ign/s+09qqqKjObGf+LLhD87kD6d7VUJVvb7OOTMxG0m5sbIiMj8corryAy\nMtLMk8y/sFE+NR8GgwGXL1/mLogeHh4YPHgwIiIiOvTedwSdTofbt28jODhYdAiEJTQ0NGDVqlV4\n/vnnsXXr1m5zUnz88cfQaDR4++23sXz5cixYsAAJCQndcmwBeoftjWCr/e3KlStcE4hSqcR7772H\noKAgu5Pf2tra8POf/xxXr141Ow6/BZoaFRiGQXNzM4YPH46QkBDRCoIm4UZGRvaIYV2r1SIvLw/D\nhg3jcgbKy8u5cVXu7u5QKpVcAwO/UnZ1dcX06dO5pDcAXAcdabD8/AoiYiEpkzWOPnbzN0bJ7kaV\nMJ+Y+QFERCBUcdNjidRJLyffMYGsXcXFxTh//jw3pZoPa+eypWqZiIEftMS/f3V1Ndra2jjnCH+D\nMCoqCr6+vqJasS3VsvBLGLtJevr48eMxffp0rmWZH+PJ91xXVVWhoKCAc7K4uj4J8ff29ua6DGk0\nlSNwtA26pKQEq1atwjvvvIOlS5d2ayGTlZWF3bt3IyMjA9OnT8eePXswbdq0bjs+D72LkA8cOIDs\n7Gzs3bsX8+fPx6ZNmzp0TMybNw8ffPABF97Dt8TZgmnTpuH06dNcILg1S5ter0dFRQUePXrULiSo\noqICZWVlmDBhgkPNHJ0F7WKPHTu2XUazTqfDo0ePUFlZCX9/fy4bmAiZSJllWfj5+WH27Nnw8PCw\nWCVTEwE/spKqZiJtPpHTGmgTiTYLiUCpSqZ10Ed9IeGSt5YvSVAV6uLiAoVCgZycHNy+fduinU8s\n/Q4Q72gTky2E93F1dUVBQQHXTUcSjZubG9flR3o836ViiZzFNvSskTG/aqbp2+Hh4Rg2bBh8fX0h\nk8lQVVUFmUwGtVrNfYqgtdKklqFDh0Iul+PRo0eoqamBn58f5HK5XedybW0tHjx4YObksAVZWVnY\nsmUL0tPT20286S68/vrryM7Oxrhx43DkyJEeWQN6GyEvW7YMS5YswZIlS7B7927U1NTggw8+sHh/\njUaDSZMmQaFQ4Ouvv8bvfvc7uLm52ZX8lpSUhISEBEybNs1mSxvLsqivrwfDMFwqmJubG2JiYpwa\n2m1pLTTiKS4uzmr3Ess+mWpRX1/PBeDwSVmn04FlWURERHA74lQlU2cdkTKRMJEzP+qTPjLTMSkL\ngd9qzSdmmUzGNV/Qx27a6CNtk0/C9Ly0ttbWVly5cgV37txBXV1dO9K1NxrSUqVM3/kVM/1M5wO/\nIo2Pj+c2z+jiLtzYE/Mqi/1M9+OTMJ+M+V983VqoYZOkMnDgQHh6esLLywtDhgwxk9eoMUmlUsFo\nNNo0TLS8vBxVVVV2tVizLIuMjAykpqYiIyMD4eHhNj2uH6NnG0Mctb8RLly4wE0OEbPEzbIh+Y2i\nOMkfbEsLtEz2JCTIy8sLt2/fhkz2JA6yqKjI7qqiMzAajSgsLATw5HV05G/m24vKyso4lwO9kWnS\ndHl5OVQqFcaOHYuYmBh4e3tzG3u00UcaJmnCpPsC4ALW+XkVRMpU+cpkMi7jl5wY9Nx0X6osSa4g\nzZgqa+quvHz5MjfnjVLR+J11jkBYGfM3NMX+TrP7fH194ebmxskAVL0LK2KgvX5sSaoQbu4JyZhv\ndxN+57dWExHzK2Nvb28zmYrWRY1J/GGiQ4cO5fKlCSzL4v79+9Dr9Zg8ebLNUofJZEJKSgqys7Nx\n4cKFLnUh9Xc4jZA7k/wGAJmZmVi8eDEAcUucLZDL5diwYQPGjBmDF154weYTSigRUFWhUCgcbne2\nB1qt1iw/1l7NbcSIEXBxcUFDQ4PZG5pI2WAw4N69e2hoaMCsWbPMmi/4Q1DpIkBVKZE2ESKRMVVu\nfGKmSpIChoh4yTVBm3UAuAxlAFzmwj/+8Q8UFhZya7JEvsIZg5bAJ03h7dbkC7p4BAcH49tvv4XB\nYMCzzz7LZT3TOcCXJ6zpxWIkzSdfsc09PjGLVcUkpZBbhXKew8PDrZ6j/GGiarUaRUVF0Ov1CAkJ\ngb+/P+7du4chQ4ZgzJgxNp+DWq0WGzZsgJ+fH06fPt1pR8fThm6TLA4ePIibN29i3759mDdvHrZs\n2WIx1IRlWYwePRoFBQXw8PDA73//e84SFx8fj5MnT3KRk9ZgNBpx69YtHDx4ED/88AN+9atfYcWK\nFRYvBhRAVFVVhdjYWFGJgNqda2trERgYCLlc3qVBKHV1dVAoFIiOju7U1F+WZVFZWYn6+nou25fy\nDvgfvb28vBAXF4eIiAjudnd3d24ME19L5v8sk8nM5vKRJOLi4sJtfPG1ZHJP8H+nKp6kj5qaGhQV\nFeH69etm8gm9Hv53/s/8Cl4IMSKxVT8WbvSVlJRwdkS60HTlZh5V62KEzP8urI5JMyYZavDgwQgN\nDXWIDLVaLZRKJRiG4chYLDVRDGq1GitXrsSiRYuwefPmbnch9XL0Lg3ZVvsbANy6dQvvvfceTp8+\nDUDcEmcvGhoacPjwYRw5cgTR0dFYt24dpk6dylUQ5K10dXVFdHR0h9UvtTszDIMBAwZALpfD39/f\n4ZOQZVkustDSxcCR56yqqkJTU5PZ8E+ykfEzIChX+dGjR5gyZQrXGs1/vXRfcmMIf+ZXwlQF02P4\nOjM5LIicNRoNCgoKoFAoRCdr0/GFr83a6xaDNcsbrZFfMQuJWmzjTnibNclCbDNPbBOPXyXzZSci\nYfqZT8akG9NYLEcr08bGRty9exfjxo2D0WgEwzBoa2vjOkkt7aMoFAokJiZix44d3CQbCWboXYTc\nW2AymXD16lWkpqZCqVRi1apVmDhxIg4dOoRt27Y51ALd3NwMhmHQ0NDAWefsaRihi4GbmxvGjh3b\npVIIy7Kora3lNvqoUtbr9ZynmE+2AwcOxOjRoxEREcEltRFINyaQRc7FxYV7DiIvnU7H/Y1+5xMX\nZWDk5eXh//7v/7jWaT7pi1XFtA57CdnSZp5QxuCTMP1MaxY+hi9XCMnYknZsDxnzSVlIxELdmAax\nBgYGOhwYVFlZCaVSibi4OLMO17a2NlRUVKCyspJzIPGDgq5evYp33nkHn376KSZNmuTQsW3Bhx9+\niLNnz+LixYtOO4YTIRFyR6ioqMBbb72Fr776irPiRUdHO1zlGgwGzjrn5eXFWeesPV9rayvy8vI6\nnYfREWj+W0tLiygpk5uCyE4mkyE0NJTz2vLJke4H/NT5R2TLn9NHv5P84OLiwnU6lpeXo6SkhNuw\nIwKmY/MrYiExCyUKe3Rkaxc7sYpY7G9ilbJYZSxGxsIq2dImntBZwa+Q+dXxwIED4eHhAV9fX84T\nbS9YlkVJSQkaGxsRGxtrsQomB5JKpUJeXh5KS0vh7++PjIwMZGRkOPX8VSqVWLhwIQIDA/s1IXev\nj6uX4eTJk1xYd1ZWFn73u99Bp9MhKSkJ8+fPt7stmmx5crkcjY2NKC8vh0Kh4ObrCU/02tpa3L9/\n3ywly1mgMUZubm7QaDRmlj6+A4IfSM8wDBiGgZeXFyIiIhASEsJlFfPT8VxcfgqAJ92TXzF7eHhw\nswbv3LkDtVrNVdA08RmAGSnTR24+2Vqzu4npyHQB4INP6sLH03c+qQmlC6HFjY4jrJz5BGypSrbF\n5iZmdeOTMU01sccbzIfJZOI+nU2cOLHDCxaNKQsICMBvf/tbfPfdd3jxxRdRUlKCkJAQp+nGmzdv\nxgcffIDdu3c75fl7C57qCvnBgweIjIw0cxM8ePAAe/fuxYULFzBv3jwkJibaNSlXCGrcqKiogK+v\nL+RyOby9vaFUKqFWqxEbGyua5uYs0Jw6arGm6pg/HYT/Rd16dJ74+voiLCwM/v7+qKioQFBQELy8\nvNDQ0MBNYiayZxgG9fX1qK6uRnNzs5mGbK0qtkTAluxunfEiCzfyhLfzSZd+76rNPEsOC6FuLKyO\nydo2aNAgDB061OE8FZ1Ohzt37iAoKMiuNmiNRoP169cjMjISf/zjH3Hz5k2kp6cjJSXF4UG+fAgt\ns48ePcLKlSuxdu1aJCcn9+sK+akmZGtobW3FX//6V6Snp8Pf3x/JycmYPXu2w/ocabllZWVoamqC\nj48P4uLiur3ZBABX9Wq1Wm7Ip7BCJgmDWqb57dSAuZ7s7u4OjUbDbeZR4wf/cfQYPgkLf6d/J2vO\nCuF9hLBVPwbMSdbSRp4YAVuSKIS/W9vM68jmxteOhV5jmshNIf+OQBhobysqKyuxYsUKrF69GuvX\nr+8WJ8WyZctQVlYGg8EAhUKBd999Fxs3bnT6cbsYEiF3BViWRW5uLlJTU5GTk4PXXnsNK1ascCjc\nu6WlBfn5+QgODuZsXh1N7u1KmEwmKBQKGI1GREdHQ6fTcdOWSVfmV8d8UhZ+iYUPEVGK/Sz8ndZD\n3/nkK/yi2wli56zw/gQxS5s1uYL/nU+ywtstSRTC363JFHyy5hMwETO/Oua3Q3t7e8PT09NhMnS0\nDTo/Px/r1q3Drl27bBoU0dUoLS3t9xXyU60h2wKZ7MmwyE8++QT19fU4fPgwXn75ZYwfP56zztny\nxqipqcHDhw8RExPD+TojIyNRXV3NDaWkhhNnVB3kaKBwIpnsp3ltVOHySZkfRM/PshBmAfOJWehV\n5leylkiaT9YA2hEzPZZgCzEDlqtiPiyRNWnPQheGsArmyxLWyFhMpiAyFrO3Cefn8clYp9NxE8z5\nXXW2glrx7Y2OPX/+PLZv344TJ04gJibG7uNKsA1ShewATCYTrly5grS0NJSVlWH16tV49dVXRduq\nyVXQ0NCA2NhYi28CmhRSX1+PoKAgrvmgK0DeUrFwIlqjTqfjJAx+8wg/kpMfzSkkZ77bgkiXT8LC\n7/TvaGu1TLKCJXK2F3wStraJJ2ZvE9OP6ctafoVQphD6jcWaP2jzjqZiy2Qy1NbWgmEYrqsuODi4\nQ+mCZZ+0Qet0OowfP95mqYNlWaSnp+Pzzz/HqVOneiTpsJ9Akiy6A48ePUJ6ejpOnTqFGTNmICkp\nCWPHjoVM9qR77e7duxg0aBBGjx5tkyWJJoWoVCrRSSGOrI9hGMTGxnY4QJUC4CmUSChhdCRdCEmZ\nH0pkScKwJFFY0pGFdjchLEkWQljSi/l/FyNioP34JuHvfKIWkrAlmULMUUF6saenpyiBarVaPHr0\nCFVVVdyGsVjVbDAYkJeXBx8fH0RGRtp8LhkMBmzbtg11dXU4dOhQl3akPoWQCLk7odfrkZmZib17\n98JgMOCll17CsWPHcOLECYz8Z46zveBnNZN1ztYOLJPJxFVEMTExdm3+8ImZ39XH15TFpAsxLdlS\ntSyUKvi30+/874C4XOFolWxNW7ZWEQuJ2pKjQqgZ8wnaUuMHvzKmhg/hDEAx0IaxSqWCTqczq5rJ\nahgWFmZXOH1zczPWrl2LqVOnYvv27Q75myWYQSLkngDLskhNTcW7776LkSNHYvbs2UhMTOyUaV6v\n13PWucGDByMsLMxqvoBOp0NeXh78/f0RHh7uUHVNZEnRmNREIrbRJyZhWNvgs0TOgHllLNzUs1Yt\nW3oNYq9djITFpAr+z9ZcFkKPsVC6sCRVCDvwSDMmMnbk/62trY3Lxx40aBAeP36MmJgY+Pr62vwc\nDMNg+fLleOONN7By5cpucVI8BZAIuSdw5swZ7N27F0ePHsXAgQNx8uRJHDhwAIGBgZx1ztFqg2Wf\ndEqVl5ejra0NoaGh7fTDpqYm3L171247k7Vjmkwms44+fru1mK7M/xJWzWISBh1HWDHT7fy/89dl\n7dy1Rbqwph3zbxMjY2GVLKyKxeQKoWbs4uLC2dlIoqDZfJ1FZWUlioqK4OnpCYPBgNDQUAQFBXVo\ns8zJycGGDRuwZ88ezJw5s9PrkMBBIuSeAEVQ8kmSZVnk5OQgNTUVubm5+Ld/+zcsX75cdIPNVmi1\nWqhUKlRXV3MTIJqamlBWVobY2Fin2OjIW8yvli1py0LZgq8ni9nfxCpla1VxR4TMvy8gbnUTVsrW\nJAu63Ra7m7A6Fia48UOCqCLuqiqUZVmUlpaivr4esbGx3LQWqpotac0syyIzMxO7du3CyZMnERUV\n1SXrER5jzZo1UCgUGDZsGD7//PMe8eH3ECRC7o2or6/Hp59+iqNHjyImJgbr1q3DlClTHH5Dmkwm\n1NTU4P79+zAajRgzZgyCg4OdqvmRtY3fSGLJGiemJdNziG3y0Wuy5Evmr8HS2sRgi3QhRsj0uyWL\nm6UKmV8dEwnzN+5IH7bU4OII+G3QY8aMaXcOsOyTqTKU4BYSEoKhQ4fC09MTH330ES5duoSMjIxO\nFQrWcP36daSlpeH48eOYNWsW3n77bbz00ktOOVYvhETIfOzcuROZmZnw9vbGl19+6XC7aVfBZDLh\n8uXLSE1NBcMwWLNmDZYuXWr3RBK9Xo+8vDz4+voiKCgIKpXKaVnNQhBJEjlTBS2cwScmXQi794RE\nbUlDtke2sARhdQzYnuhmbSNP6DUWasV8zbirQW3Qw4YNw4gRIzq8f1tbGx4+fIhly5Zh6NChCA4O\nxqlTp5z6vnjw4AHq6+sxbdo0vPjii/j3f/93iZAFeCo+LxQXF6OgoADXrl3DRx99BIZhEBkZ2aNr\ncnFxwfPPP4/nn38eKpUK+/fvx7/+679i5syZSEpKsmlKA03CHjVqFAIDAwEAY8aMgdFoRFVVFfLy\n8jBgwACEhYXBz8/PKZszRUVF0Gg0mDBhAmQymRk5i9njbOnkA9q3UFvayLMkaVizuwn/LraZxydo\nS23R1nzG/EqZJApnoaWlBXl5eWbnQUcYOHAgQkJCMGLECERERKC+vh6zZs3Crl278C//8i9dsi5h\nJsWMGTPw/vvv44svvoBOp8OcOXO65Dj9CU9FhZyeno7MzEw0NDQgKCgIf/vb33rlzrFer8eXX36J\nffv2wWg0cqlzYla3qqoqlJSUIDY21mpV3dzcjPLycjQ1NSE4ONjurGZra83Pz8fgwYPbzW2jc0oo\nY4ht/FnSlIWyBX0XujGEx+wIturGdJvwdktEzLe00YZdXV0ddDodhg0b5rRRRnV1dbh//z5iYmLs\n6twrKSnBypUrsW3bNixduhQymQyVlZUwmUwICQlxyloB4PTp09i9ezcyMzMd6jTsw3h6JQvhlfn7\n77/H2rVr8cknn+CZZ57Bzp078dxzz/XgCq2DZVkoFArs3bsXly5dwoIFC5CYmIiQkBBuHp7RaERM\nTIzNb3RHspotgSqyiIiIDtO9hCQrJGhLljhb/Mgd6crWXpvQYSG83VI2hViFzO+wk8lk3Fop6Y8f\n7N6VMav8ieT2dHVmZWVhy5YtSE9Px/Tp07tsPR2hsrISr776Kr7++utuGxbci/D0ErIQH3/8MTQa\nDd5++20sX74cCxYsQEJCQk8vyyZoNBp89tln+OSTTzB06FBUV1dj6dKl2Lhxo8P+4oaGBjAMA41G\nw1nnbP1IrVaruWAaRyscFxcXM3ImHRqAKDFb+7L0GsUgVh1bs7iJZVaINXp0tDFHdkWGYaDVarnG\nDUdlDJZ9EhOr1WrtavphWRYZGRlITU1FRkYGwsPDHTq+o0hJSUF6ejqCg4MBAImJiUhMTOzWNfQg\nJEImZGVlYffu3cjIyMD06dOxZ88eTJs2raeXZRfu3r2LJUuWIDw8HFVVVZx1rjODUHU6HVQqFWeH\nCgsLs5j+xbIslEolamtrrWZy2Av6uA9AVGsGzC1wQn+y2DrF/iZmcyMI3RN8yUKoCzc2NuL+/fuI\njo7usBVdDPRvXlVVBR8fH24ckq0wGAzIz8+Ht7d3O6nIGkwmE1JSUpCdnY2TJ086fSCChHaQCJmP\n119/HdnZ2Rg3bhyOHDnS08uxC0ajES+//DJSUlIQExODuro6zjoXFxeH5ORkTJ482WFdnGVZqNVq\nMAwDo9HINRHQx3ej0Yh79+7B1dW1y2f+iUFInPyKmX7nr13MjSF8LjFXBd0uRshi1XhxcTGampqs\njjmyFUILmliTjxCOtkFrtVps2LABfn5++J//+R+n6dkSrEIi5P4EIiM+TCYTvvnmG6SmpqKiogKr\nV6/G0qVLO9UU0traCpVKxWU1BwYG4v79+wgJCenU5JTOoKqqCqWlpWYNL8KKl2VZaLVaNDc3AwC8\nvb0xaNAgUS8ufbfk3BDCaDSioKAAHh4eiIqK6vIN4ba2Nq5qHjp0KEJDQ9vJQU1NTSgoKEB0dLRd\nn4rUajVWrlyJRYsWYfPmzb1yM/spgUTI3YHeMgmXYRjs378fX3zxBWbNmoWkpKROkYfJZEJJSQmU\nSiW8vb0RERGBgICAbn1DO1qVCi8qnRkAoNVqkZeXh5CQEKcO8QR++qSiUqmg1+u5TypqtbrdBckW\nFBYWIikpCTt27MDChQuduHIJNkAiZGejN07C1ev1+Pvf/459+/aBZVkkJSVh3rx5dn9MValUUKlU\niI2NhdFo5LKayTrn7DmARqMR+fn5XHSpIxcC6mJkGAYy2ZMBAAEBATZLLo5WpV0BrVYLhmGgUqng\n4uKC2NhYuwKCrl69iq1bt+Lw4cOYNGmSE1cqwUZIhOxsvPLKK1i/fj12797dawiZQNa5tLQ0fPPN\nN1i4cCESExM71B5NJhMePHiAtra2djv4RqORs851RVazJbS2tiIvL89urdQaWlpauC7GYcOGITQ0\n1GoXo5hM0p0wmUzcJJmAgACoVCpRfV8IlmVx5MgRHD16FBkZGU6v6iXYDImQuxJ9eRKuRqPBiRMn\ncPDgQQQFBWHdunWYMWNGuzc1xXb6+flh5MiRFomWZVk0NTU5nNVsDQ0NDbh37x7Gjx/vFCcAdTGq\nVCoMGDAAcrkc/v7+3GtlWRYlJSVobGzEhAkTemQDjP4fAgICMGLECG5tfCnG398foaGhZn5eo9GI\nHTt2oKioCMeOHetyr69Wq8XSpUtRXl6OuLg4HDlyRNKkbYdEyM5EX5yEy7IsfvjhB6SmpuL27dtm\n1rmioiLU1NTY1X4LmGc1O2Lj4oNkkri4uG6ZTtHc3AyGYdDQ0IDg4GAEBwfj4cOHcHd3R1RUVI+E\nstvSBm0ymThXDKW7zZ49G5s2bUJkZCRSUlKckpdx4MABZGdnY+/evZg/fz42bdrUI8NO+ygkQu4O\n9NVJuLW1tZx1LjQ0FAqFAl999ZXDH3H5Ni6dTsd9tLaFGFj2ybw3MZmkO2AwGMAwDIqLizFo0CCM\nGTPGKVJMR6irq4NCobCr6ebx48d48803ce7cOUyaNAl/+ctfMGrUKKesb9myZViyZAmWLFmC3bt3\no6amBh988IFTjtUPYdPJJM1leUrh7++PLVu2YNGiRaipqUFsbCxWrVqFXhkVtQAADuRJREFUI0eO\nQKPR2P18MpkM/v7+mDhxImJjY9Ha2opbt25BoVCgpaXF4uP0ej1+/PFHDBgwALGxsd1OxsATKaCy\nshITJ07EuHHjUFFRgZs3b6KsrAx6vb5b1qBSqVBUVITJkyfb1QFZWlqK27dv49ChQ0hMTMSvf/1r\npKWlOWWNtbW1nIzk4+ODuro6pxznacZTkfbmTIwcObLPVceEGzdu4PHjx8jKyoKrqyvKy8uxf/9+\nzJ49G7Nnz0ZSUpJDDgcPDw+MGjUKERERUKvVUCgUAIDQ0FAEBgZyUgB9PI+MjOyxacbV1dUoLi42\nC2kaMmQI9Ho9KioqkJOTw+VQ+Pj4dHnVzLIsHj58CI1Gg8mTJ9t1QTp//jy2b9+OEydOICYmBgDw\nq1/9imtD72oEBASgsbERwJN5j10xkUaCOSTJQkI76HQ6zjonk8mQnJyMuXPndmqDS+hyGDRoEJRK\npd0pZV0Fsckalu5H2R+tra2dzqHgg6x9Xl5edrVBsyyL9PR0fP755zh16lS3XcwOHjyImzdvYt++\nfZg3bx62bNmCF154oVuO3Q8gach9DSzbu0bcsCyLwsJCpKWl4fLly1i0aBHWrFnDhcM4AkqrU6vV\n8PX1xYgRI5yW1WwJHU3WsARKb6uoqLA4CslWUBu0XC63K+7SYDBg27ZtqKurw6FDh7pl85PQ1taG\nJUuWoKysDBMnTpRcFvZBIuS+ht484qalpYWzzg0fPhzr1q3Dc889Z5cTwWQyobCwECzLYty4cXj8\n+DEYhunyrGZroMkaQUFBCAsLc+g5WJZFbW0tGIYx66izVW5wtOGkubkZa9euxdSpU7F9+/YecYFI\ncBjSpl5fQ1BQEDZv3gwAPT5iSggvLy+sW7cO33//Pd5++2189tlnmDFjBv7yl7+goaGhw8frdDrk\n5ubC29sb48ePh4uLC3x8fDB+/HhMmTIFrq6uyM3NRX5+PhoaGhwazdQRmpubkZubi4iICIfJGADX\nrBEfH2/XBibwRLO+e/cuJk6caBcZMwyD+fPnIyEhATt27OhTZJybm8sVFjNnzsSDBw96eEW9F1KF\n3IOwNuLmz3/+My5dutQjrgNboVarcejQIRw/fhyTJk1CcnIy4uPj232MpVFTo0ePtroRRHpteXk5\nlxs8fPjwLvk3qKmpQVFRUYcTVhyF0BscGhqKYcOGccTJjy+Ni4uzS4/PycnBhg0bsGfPHsycObPL\n194d2LhxI1iWhZ+fH959992eXk5PQJIs+iL64ogbo9GIixcvIi0tDdXV1VizZg2WLFkCT09P/Pjj\nj9BqtXYTIX90/dChQyGXyy1mNVtDZ4jQUWg0GqhUKqjVagQEBCAkJARKpRIAEB0dbXN1y7IsTp8+\njT/96U84efIkoqKinLlsp6KwsBDjx4+HSqXqsnb4PgaJkPsa+sOIm/Lycuzbtw9///vfMXz4cDx+\n/Bj/+Mc/HA4jEmY1y+Vys8rTGvh5EPYQYVfBZDKhoqIC9+/fx8CBAzF69GgEBgbatBFmMpnw0Ucf\n4dKlS8jIyICfn183rNh5SEhIwNixY1FTU4PU1NSeXk5PQNKQ+xoOHz6MiooKzJkzB7/4xS9w8ODB\nnl6S3QgLC8Pvf/97LgfCw8MDr732GjIzM2EwGOx+PplMhsDAQEyaNAkxMTFobm7GzZs38eDBA7S2\ntlp8HGnWgwcPxrhx43pEc9VqtSgvL0dMTAzi4uJQX1+PGzduoLi4GFqt1uLjdDodNm3ahAcPHuCr\nr77q82R89uxZeHp6YseOHVCpVMjKyurpJfVaSBWyhC7HJ598ApZlkZycDJZlce/ePaSlpeHKlStY\nvHgxVq9e3SnrnMlkQnV1NRiGgaurKxerSZXn48ePkZ+f36Fm7UzU19ejsLAQMTExZtke/HAjd3d3\nyOVyM9tffX09Vq1ahRdeeAFbt27t8gtJb7NWPkWQJAsJvQstLS04fvw4Dh48iNDQUKxbtw6/+MUv\nOkU6ZJ2jrGYPDw8olUpMmDDBIc25K/Do0SMwDNNhSBIl5tXX1+Py5cuYM2cOtmzZgm3btmHp0qVO\n8fj2ZmtlP4ckWTzt0Gq1mD9/PiZOnIiVK1c6xUpmD7y8vLB+/XpkZWXhzTffxPHjxzFz5kykpqba\nZJ0Tg7e3N6KjozF16lQ0Nzfj3r178PDwgF6v7/bXS9Oga2pqMGXKlA6bNsj2Fx8fj6amJrz66qsY\nNmyYUze9erO1UoJEyP0ax44dg1wux+3bt1FfX48LFy709JIAPNGFn3nmGRw9ehTnzp2DyWTCSy+9\nhI0bN+LHH3+0m0gpVN/V1RUzZ85EREQEVCoVbt68ifLycoe0a3thNBo5C2NcXJzNVj2WZXHmzBnc\nunULt27dwn/9138hPT0dJ0+edMo6o6KiMG3aNHzxxRfQ6XSYM2eOU44jwTFIkkU/Rl+KSzQajbhw\n4QLS0tKgVquxevVqzjpnDZbC3OlvZJ3z8fFBWFiYU6yEbW1tuH37NkJDQ+2KLzWZTEhJSUF2djZO\nnjzplEB+MfRFa2U/gE2ShaTm92MI4xIpda03wtXVFb/85S/xy1/+EmVlZdi3bx9mzpyJF154AUlJ\nSYiMjGynqXYU5u7u7o6RI0ciPDwcdXV1KC4utjuruSM0NzcjPz8fY8eOtcsNodVqsWHDBvj5+eH0\n6dPdNpmksrISu3bt6tPWyv4MSbLox+ircYkjRozAH/7wB+Tm5uLnP/85Nm3ahMWLF+PMmTOc/PDg\nwQPk5eVhwoQJHU44sZTVfP/+fYeynwk1NTUoKChAXFycXWSsVquxaNEiTJ8+HR9//HG3jonqD9bK\n/gxJsujH6C9xiSzL4u7du0hLS8PVq1cRFRUFhmFw7tw5hxtOaCK1SqUCALsmUrMsi7KyMqjVaru7\n/woLC5GUlIQdO3Zg4cKFDq1dQp+EZHt72tHf4hL1ej1+85vfoKCgACaTCXK5HMnJyZ22zrW0tIBh\nGNTV1XU4kVqYWGfPca9evYqtW7fi8OHDmDRpksPrldAnIRGyhP6Fffv2obGxEW+99RZYlkVWVhb2\n7t2Lu3fvYtmyZVi2bFmnNsY6atrQ6/W4c+cO/P39ER4ebleg/JEjR3D06FFkZGQ4PLdQQp+GRMgS\nng7U1NTg4MGD+OyzzzBlyhQkJycjLi6uU58GqGmjqakJw4cPx9ChQ3H37l27x00ZjUbs2LEDRUVF\nOHbsmLSR9vRCImQJzkFvbb81Go04f/480tLSUFdXhzVr1mDx4sWdmqqh1+tRVFQElUoFPz8/REZG\n2jxbT6PRYN26dRg9ejT++Mc/9uooVQlOh9SpJ8E5+O6772AwGHDjxg00NTXh/PnzPb0kAE+sc3Pn\nzsXp06dx7NgxFBcXY8aMGfiP//gPFBcXO9S5V1NTg6amJjz77LMIDw+HUqnEDz/8wKXPWUJlZSUW\nLlyIuXPnYufOnU4h4w8//LBPbtJKsAyJkPsodu3ahfT0dADAn/70Jxw4cKDbjt0X2m9HjhyJ999/\nH7m5ufjZz36GjRs3YvHixTh79qxNnXs0Dbq6uhpTpkyBp6cn/Pz8EBcXh4kTJ0Kv1+PWrVsoLCzE\n48ePzR6bn5+PRYsWYceOHVi/fr1TNlKVSiU+/fTTLn9eCT0LSbLoo3j06BFWr16NCxcu4LnnnsOZ\nM2e6rdOL0FcmmwBPCDY/Px9paWm4fv06lzoXFBTU7r5GoxEFBQXw8PBAVFSURULlZzUXFxdzAUfv\nv/8+jh8/jpiYGKe9nldeeQXr16/H7t27cfHiRacdR0KXQZIs+jNCQkIwYMAAXL16FXK5vNvJ+PTp\n0/jzn/+MzMzMXk/GwJPmkNjYWKSmpuK7775DUFAQXnvtNaxevRrXrl2DyWQC8CQ9Ljc3F35+fhgz\nZozV6paf1Txp0iScO3cO69evx6xZs5yaNHfixAlMnDgR48ePd9oxJPQMJELuw1i+fDlWr16NlStX\ndutxqf327NmzfTILYfDgwXj99ddx48YNbN68GUePHsWsWbPw7rvvYsaMGQgKCoJcLrf5+QwGA1JT\nU+Hj4wOlUonp06djzZo13NimrsaZM2dw6dIlJCQkICcnBx9//LFTjiOh+yFJFn0YLS0tGDt2LJRK\nZbdWqSkpKUhPT+dC5hMTE5GYmNhtx3cGPvvsM7z11luQy+WYMGECkpOTERsb26H+29zcjLVr12Lq\n1KnYvn17t04mKS0tRXJysiRZ9A1I4UL9GcXFxXj11Vfx5ptvdrtksHXrVmzdurVbj+lM3LhxAwcO\nHMDt27fh6+uLc+fO4b333kNDQwPWrl2LRYsWiVrnGIbB8uXL8cYbb2DlypV9ugtSQu+AVCFLeOrB\nsiz0er2ZY4RlWZSWlmLfvn04c+YM5syZg8TERIwcORIymQw5OTnYsGED9uzZg5kzZ/bg6iX0EUiN\nIRL6Jj788EOcPXu213wUb2trw//+7/9i//798PDwQFxcHC5evIi//vWviIqK6unlSegbkAhZQt+D\nUqnEwoULERgY2GsImcCyLPLy8rBp0yacOnWqz8SZSugVkGxvEvoeNm/e3GunmshkMsTFxeHKlSsS\nGUtwCiRCltBrIPlrJTztkAhZQq+B5K+V8LRD0pAl9Do8Lf7anTt3IjMzE97e3vjyyy97bS6IhC6B\npCFLkNBbUVxcjIKCAly7dg1z584FwzA9vSQJvQBShSxBQg8gPT0dmZmZaGhoQFBQEP72t79JjSX9\nG1KFLEFCb0VNTQ0CAwPx7bffgmEYXL9+vaeXJKEXwN4KWYKEPgmZTPY2gAUAHgN4mWVZXQ+vZyOA\nQSzL7pTJZMcBZLIse7In1ySh5yFVyBL6PWQyWSSAGJZlnwPwFQDbo9ychxwAP/vnz6MBFPfgWiT0\nEkiELOFpwPMAhspksm8BPAegpIfXA5ZlswCoZTLZDwAULMve6uk1Seh5SGlvEp4GBAKoYVl2oUwm\nywLwCwDXenhNYFn29Z5eg4TeBalClvA0oAmA4p8/FwMI7cG1SJBgERIhS3gaIOm1EvoEJEKW0O8h\n6bUS+gok25sECRIk9BJIFbIECRIk9BJIhCxBggQJvQQSIUuQIEFCL8H/A57W+Oh0ye2+AAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe1d49f98>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.view_init(60, 35)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, note that this type of rotation can be accomplished interactively by clicking and dragging when using one of Matplotlib's interactive backends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wireframes and Surface Plots\n",
    "\n",
    "Two other types of three-dimensional plots that work on gridded data are wireframes and surface plots.\n",
    "These take a grid of values and project it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize.\n",
    "Here's an example of using a wireframe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LL5KcnExDQwNjx441O+7+/fsTGhrKvn37+OGHHzqcl4WFBQ4ODoKohw8fTlRUFKGhoXh4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe1a16668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_wireframe(X, Y, Z, color='black')\n",
    "ax.set_title('wireframe');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon.\n",
    "Adding a colormap to the filled polygons can aid perception of the topology of the surface being visualized:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none')  #viridis\n",
    "ax.set_title('surface');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that though the grid of values for a surface plot needs to be two-dimensional, it need not be rectilinear.\n",
    "Here is an example of creating a partial polar grid, which when used with the ``surface3D`` plot can give us a slice into the function we're visualizing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EFR+lUolUKsXJkydbSqGbFR9Rou5W8dFLSuQgeiHDISRkwzCwbXv7BTugOeqL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe006d128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = np.linspace(0, 6, 20)\n",
    "theta = np.linspace(-0.9 * np.pi, 0.8 * np.pi, 40)\n",
    "r, theta = np.meshgrid(r, theta)\n",
    "\n",
    "X = r * np.sin(theta)\n",
    "Y = r * np.cos(theta)\n",
    "Z = f(X, Y)\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Surface Triangulations\n",
    "\n",
    "For some applications, the evenly sampled grids required by the above routines is overly restrictive and inconvenient.\n",
    "In these situations, the triangulation-based plots can be very useful.\n",
    "What if rather than an even draw from a Cartesian or a polar grid, we instead have a set of random draws?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "theta = 2 * np.pi * np.random.random(1000)\n",
    "r = 6 * np.random.random(1000)\n",
    "x = np.ravel(r * np.sin(theta))\n",
    "y = np.ravel(r * np.cos(theta))\n",
    "z = f(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could create a scatter plot of the points to get an idea of the surface we're sampling from:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4fPnymmp6Owe43i6n3mZVuN9nfuKJJ3jiiSc2fc16GRWN8ih8NdG9997LzMwM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6uri9etUJcueAJmMhlyufzDdL6Ox5nH8H8B+Xc4BEEoiuoUZDYVRTmrTnkxUQDVQjNIUZQl06fP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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe006d6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter(x, y, z, c=z, cmap='viridis', linewidth=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This leaves a lot to be desired.\n",
    "The function that will help us in this case is ``ax.plot_trisurf``, which creates a surface by first finding a set of triangles formed between adjacent points (remember that x, y, and z here are one-dimensional arrays):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ehoAt3XhYYtiKQ0DjSJoinQj47sUiNg3jINn8MZvm6yoBSmi2YkVBSgoyYinK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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fe1e14d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is certainly not as clean as when it is plotted with a grid, but the flexibility of such a triangulation allows for some really interesting three-dimensional plots.\n",
    "For example, it is actually possible to plot a three-dimensional Möbius strip using this, as we'll see next."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: Visualizing a Möbius strip\n",
    "\n",
    "A Möbius strip is similar to a strip of paper glued into a loop with a half-twist.\n",
    "Topologically, it's quite interesting because despite appearances it has only a single side!\n",
    "Here we will visualize such an object using Matplotlib's three-dimensional tools.\n",
    "The key to creating the Möbius strip is to think about it's parametrization: it's a two-dimensional strip, so we need two intrinsic dimensions. Let's call them $\\theta$, which ranges from $0$ to $2\\pi$ around the loop, and $w$ which ranges from -1 to 1 across the width of the strip:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "theta = np.linspace(0, 2 * np.pi, 30)\n",
    "w = np.linspace(-0.25, 0.25, 8)\n",
    "w, theta = np.meshgrid(w, theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now from this parametrization, we must determine the *(x, y, z)* positions of the embedded strip.\n",
    "\n",
    "Thinking about it, we might realize that there are two rotations happening: one is the position of the loop about its center (what we've called $\\theta$), while the other is the twisting of the strip about its axis (we'll call this $\\phi$). For a Möbius strip, we must have the strip makes half a twist during a full loop, or $\\Delta\\phi = \\Delta\\theta/2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "phi = 0.5 * theta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our recollection of trigonometry to derive the three-dimensional embedding.\n",
    "We'll define $r$, the distance of each point from the center, and use this to find the embedded $(x, y, z)$ coordinates:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# radius in x-y plane\n",
    "r = 1 + w * np.cos(phi)\n",
    "\n",
    "x = np.ravel(r * np.cos(theta))\n",
    "y = np.ravel(r * np.sin(theta))\n",
    "z = np.ravel(w * np.sin(phi))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, to plot the object, we must make sure the triangulation is correct. The best way to do this is to define the triangulation *within the underlying parametrization*, and then let Matplotlib project this triangulation into the three-dimensional space of the Möbius strip.\n",
    "This can be accomplished as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QjI6O3pcTPXAN297ebuaI+9nPoBGy7/u89dZbmKbZFOJeX4h+o14hGiBuE4/+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\nQQ/IOjo6OoOE/wcTa5b2nDhSlgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fdbe7ecc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# triangulate in the underlying parametrization\n",
    "from matplotlib.tri import Triangulation\n",
    "tri = Triangulation(np.ravel(w), np.ravel(theta))\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z, triangles=tri.triangles,\n",
    "                cmap='viridis', linewidths=0.2);\n",
    "\n",
    "ax.set_xlim(-1, 1); ax.set_ylim(-1, 1); ax.set_zlim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Combining all of these techniques, it is possible to create and display a wide variety of three-dimensional objects and patterns in Matplotlib."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) | [Contents](Index.ipynb) | [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) >"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
